Differentiating Trigonometric Functions

Question 6 • AP Calculus AB - MA5186 A

What is the derivative of y = x3 + sin x?

Answer

y′ = 3x2 + cos x

y′ = 3x2 − cos x

y′ = x2 + cos x

y′ = 3x + cos x

Explanation

Differentiate each term separately: the derivative of x³ is 3x² by the power rule, and the derivative of sin x is cos x. Therefore, y′ = 3x² + cos x, which is choice A.

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