Calc2.13

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Find the derivative of f(x)\, with respect to x\,: f(x)=\int _{{5}}^{{x}}27t^{t}\sin(t-1)\,dt\,

Again, this problem uses the Second Fundamental Theorem of Calculus. Since the function is just an integral from a constant to x\,, all we do to take the derivative with respect to x\, is plug x\, into the inner function, f(t)\,. The fact that the function is so complicated does not change things.

f'(x)=27x^{x}\sin(x-1)\,


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