Let G(x) be the integral of f(t)=sin(t) over the interval [0, x], x>0. Which of the following is G'(x), the derivative of G(x) with respect to x? cos (x) cos (t) sin (x) sin (t)
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Originally Posted by Billy Maize Let G(x) be the integral of f(t)=sin(t) over the interval [0, x], x>0. Which of the following is G'(x), the derivative of G(x) with respect to x? cos (x) cos (t) sin (x) sin (t) sin(x)
Amer is correct. In general: $\displaystyle \frac{d}{dx} \left[ \int_a^u f(t) dt\right] = f(u) \cdot \frac{du}{dx} $
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