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    <lastmod>2021-03-22</lastmod>
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      <image:title>Home - Learn from our videos!</image:title>
      <image:caption>We believe that the difference between a good mathematician and a great mathematician is visualisation. How well can you visualise a problem in your head? We bring the theories of mathematics to life with our brilliant animations and teach you how to think about mathematics!</image:caption>
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      <image:title>Home - Check out our problem sheets!</image:title>
      <image:caption>Our problem sheets test you on everything you need to know about different topics! We give detailed answers and give you multiple example questions to make you a pro at maths!</image:caption>
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    <lastmod>2021-03-22</lastmod>
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    <loc>https://mathacy.com/problem-sheets</loc>
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    <lastmod>2021-09-03</lastmod>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616419443840-CWVPDF3F86N420T6BJA5/problem%2Bsheet%2Bdtanx%2Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Proof of the derivative of tan(x)</image:title>
      <image:caption>Here we prove the derivative of tan(x) by first principles through approximations. Watch our video first Differentiating sin(x), cos(x) and tan(x)</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616419343922-ED6RTBHVP4VZ26LYNYSL/problem%2Bsheet%2Bstationary%2Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Stationary Points Problem Sheet</image:title>
      <image:caption>In this problem sheet we use differentiation to solve stationary point problems. We heavily advise you first watch our Stationary Points Video</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616419287488-P52F23AEK9NT5K66YTWX/problem%2Bsheet%2Bdydx%2Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Differentiation Problem Sheet</image:title>
      <image:caption>In this problem sheet we differentiate general polynomials - functions of the form x^n. We heavily advise you first watch our Differentiation Video</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616419529669-05TSTN0GPK7PH6QL8C1D/problem%2Bsheet%2Bproduct%2Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Product Rule problem sheet</image:title>
      <image:caption>In this problem sheet we utilise the product and quotient rule to differentiate functions We strongly advise you first watch our Product and Quotient Rule video</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616419564576-96NLJMBH8Y7J3XARK7GU/problem%2Bsheet%2Bchain%2Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Chain Rule problem sheet</image:title>
      <image:caption>In this paper we prove the derivative of tan(x) is sec^2(x) by first principles through approximations. We advise you first watch our video on Chain Rule</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1616418825516-OHJLHYQUDAJY13VL291T/problem%252Bsheet%252Bdark.jpg</image:loc>
      <image:title>Problem Sheets - Complete Proof of the derivative of sin(x) and cos(x)</image:title>
      <image:caption>In this paper we go through a complete proof of the derivative of sin(x) and cos(x) without the use of approximations.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1622494871928-M7J9TGWMMOVCSBODUYT6/Integration+PS+cover.png</image:loc>
      <image:title>Problem Sheets - Integration by substitution PS</image:title>
      <image:caption>In this problem sheet we go through integration by substitution examples, including definite integrals and explain what to actually substitute. We strongly advise you first watch our Integration by substitution video</image:caption>
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      <image:title>Problem Sheets - Integration Problem Sheet</image:title>
      <image:caption>In this problem sheet we go through integration examples and explain why the area under the curve can be negative We heavily advise you first watch our Integration video</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/5f9bdd00dbda550f846b4268/1622494802476-5RR7ZKP94J236IA7OIL9/Integration+PS+cover.png</image:loc>
      <image:title>Problem Sheets - Integration by parts Problem Sheet</image:title>
      <image:caption>In this problem sheet we go through integration by parts examples, including a special one, and explain why we don’t need a constant for integration by parts. We strongly advise you first watch our Integration by Parts video</image:caption>
    </image:image>
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    <loc>https://mathacy.com/videos</loc>
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    <priority>0.75</priority>
    <lastmod>2022-03-12</lastmod>
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  <url>
    <loc>https://mathacy.com/videos/differentiation-playlist</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-03-22</lastmod>
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  <url>
    <loc>https://mathacy.com/videos/integration-playlist</loc>
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    <lastmod>2021-03-22</lastmod>
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