Find the derivative of y = sin2(5x) with respect to x.

Assessment: JAMB UTME - Mathematics - 2002 Subject: General Mathematics

Question 1 Report

Find the derivative of y = sin2(5x) with respect to x.

Answer Details
To find the derivative of y = sin^2(5x), we use the chain rule of differentiation, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function. In this case, the outer function is sin^2 and the inner function is 5x. Thus, y' = 2 sin(5x) cos(5x) * 5 Simplifying this expression, we get: y' = 10 sin(5x) cos(5x) Therefore, the answer is: 10 sin(5x) cos(5x).
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