Which of the following expressions is equal to when ?

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Which of the following expressions is equal to dydx\dfrac{dy}{dx} when y=tan⁡(5x2)y=\tan(5x^2)? (a) 100x2sec⁡2(5x2)100x^{2}\sec^{2}(5x^{2}) (b) 10xsec⁡2(5x2)10x\sec^{2}(5x^{2}) (c) sec⁡2(5x2)\sec^{2}(5x^{2}) (d) 10xtan⁡(5x2)10x\tan(5x^{2})

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