Math  /  Calculus

QuestionQuestion
Given the function y=3x2sin4(x)y=3 x^{2} \sin ^{4}(x), find dydx\frac{d y}{d x} in any form. Note: make sure to write trig functions using parentheses like sin2(x)\sin ^{2}(x) instea interpreter might not be able to understand your expression.

Studdy Solution
Write the final derivative:
dydx=6xsin4(x)+12x2sin3(x)cos(x) \frac{d y}{d x} = 6x \sin^4(x) + 12x^2 \sin^3(x) \cos(x)

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