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AP CALCULUS · Derivatives · Advanced

Derivatives: FTC: math at math?

Power rule, chain rule, tangent lines.

Try the problem

FTC: ddx∫0x2cos⁡t dt\dfrac{d}{dx}\int_0^{x^2}\cos t\,dt at x=1x=1?

Hint and answer

Concept to use

Implicit differentiation.

Hint

Chain + FTC.

Answer

2\cos1

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