Question #209a9 Calculus Basic Differentiation Rules Chain Rule 1 Answer Douglas K. Mar 24, 2017 Use the product rule : dy/dx= (f(x)g(x))'=f'(x)g(x)+f(x)g'(x) Explanation: Use the product rule : dy/dx= (f(x)g(x))'=f'(x)g(x)+f(x)g'(x) let f(x) = e^(3x) and g(x) = sin(4x), then it follows that f'(x) = 3e^(3x) and g'(x)=4cos(4x) dy/dx=(3e^(3x))(sin(4x))+(e^(3x))(4cos(4x)) Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of y= 6cos(x^2) ? How do you find the derivative of y=6 cos(x^3+3) ? How do you find the derivative of y=e^(x^2) ? How do you find the derivative of y=ln(sin(x)) ? How do you find the derivative of y=ln(e^x+3) ? How do you find the derivative of y=tan(5x) ? How do you find the derivative of y= (4x-x^2)^10 ? How do you find the derivative of y= (x^2+3x+5)^(1/4) ? How do you find the derivative of y= ((1+x)/(1-x))^3 ? See all questions in Chain Rule Impact of this question 1638 views around the world You can reuse this answer Creative Commons License