How do you find the derivative of f(x)=(1/x^2)f(x)=(1x2)? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Ratnaker Mehta Jun 20, 2016 f'(x)=-2x^-3. Explanation: y=x^n rArr dy/dx=nx^(n-1). Given that f(x)=1/x^2=x^-2. Hence, f'(x)=-2x^(-2-1), = -2x^-3. Answer link Related questions What is the Quotient Rule for derivatives? How do I use the quotient rule to find the derivative? How do you prove the quotient rule? How do you use the quotient rule to differentiate y=(2x^4-3x)/(4x-1)? How do you use the quotient rule to differentiate y=cos(x)/ln(x)? How do you use the quotient rule to find the derivative of y=tan(x) ? How do you use the quotient rule to find the derivative of y=x/(x^2+1) ? How do you use the quotient rule to find the derivative of y=(e^x+1)/(e^x-1) ? How do you use the quotient rule to find the derivative of y=(x-sqrt(x))/(x^(1/3)) ? How do you use the quotient rule to find the derivative of y=x/(3+e^x) ? See all questions in Quotient Rule Impact of this question 1189 views around the world You can reuse this answer Creative Commons License