Find f'(x) of this ? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Shwetank Mauria Mar 18, 2017 f'(x)=cosxcotx-cscx-cotxcscx+12/x^5 Explanation: f(x)=sinxcotx+cscx-3/x^4 Hence f'(x)=d/(dx)(sinxcotx)+d/(dx)cscx-d/(dx)(3/x^4) = (cosxcotx+sinx xx(-csc^2x))-cotxcscx-3xx(-4)xx1/x^5 = cosxcotx-cscx-cotxcscx+12/x^5 Answer link Related questions What is the derivative of f(x)=sin^-1(x) ? What is the derivative of f(x)=cos^-1(x) ? What is the derivative of f(x)=tan^-1(x) ? What is the derivative of f(x)=sec^-1(x) ? What is the derivative of f(x)=csc^-1(x) ? What is the derivative of f(x)=cot^-1(x) ? What is the derivative of f(x)=(cos^-1(x))/x ? What is the derivative of f(x)=tan^-1(e^x) ? What is the derivative of f(x)=cos^-1(x^3) ? What is the derivative of f(x)=ln(sin^-1(x)) ? See all questions in Differentiating Inverse Trigonometric Functions Impact of this question 1428 views around the world You can reuse this answer Creative Commons License