Practice problem
Calculate f′(x)f'(x)f′(x) if f(x)=arctan(sec(x))f(x)=\arctan(\sec(x))f(x)=arctan(sec(x)).
sec(x)tan(x)1+sec2(x)\frac{\sec(x)\tan(x)}{1+\sec^2(x)}1+sec2(x)sec(x)tan(x)
sec(x)1+sec2(x)\frac{\sec(x)}{1+\sec^2(x)}1+sec2(x)sec(x)
11+sec2(x)\frac{1}{1+\sec^2(x)}1+sec2(x)1
11+tan2(x)sec2(x)\frac{1}{1+\tan^2(x)\sec^2(x)}1+tan2(x)sec2(x)1
Type a concept, like “slope” or “photosynthesis”.
