If y = 3 sin(-4x), dy/dx is

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

If y = 3 sin(-4x), dy/dx is
Answer Details
To find the derivative of y with respect to x, we use the chain rule of differentiation, which states that if y = f(g(x)), then dy/dx = f'(g(x)) * g'(x). In this case, we have y = 3 sin(-4x), so f(g(x)) = 3 sin(g(x)) and g(x) = -4x. Therefore, f'(g(x)) = 3 cos(g(x)) and g'(x) = -4. Plugging these values into the chain rule, we get: dy/dx = f'(g(x)) * g'(x) = 3 cos(-4x) * (-4) = -12 cos(4x) Therefore, the correct answer is: -12x cos(-4x).
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