<ol class="i-list"><li><div class="list-item-paragraph">Differentiate $y={{\tan }^{4}}\left( 2{{x}^{3}}+\ln x \right)+\cos x$ with respect to $x$.</div></li><li><div class="list-item-paragraph">Hence, find $\int{\left( 6{{x}^{2}}+\frac{1}{x} \right){{\tan }^{3}}\left( 2{{x}^{3}}+\ln x \right){{\sec }^{2}}\left( 2{{x}^{3}}+\ln x \right)}\text{ d}x$. </div></li></ol>

Differentiate $y={{\tan }^{4}}\left( 2{{x}^{3}}+\ln x \right)+\cos x$ with respect to $x$.

Hence, find $\displaystyle \int{\left( 6{{x}^{2}}+\frac{1}{x} \right){{\tan }^{3}}\left( 2{{x}^{3}}+\ln x \right){{\sec }^{2}}\left( 2{{x}^{3}}+\ln x \right)}\text{ d}x$. 

Techniques of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

Techniques of Differentiation

Question b5a2041c