f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the line tangent to the graph of f at a = 2.

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Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

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Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

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Q: If f(x) = x e sinx , find f'(x) . Graph f and  f' on the samescreen and comment.

A: f(x)=xesinxf'(x)=esinx+xesinxcosx

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A: on using the formula of the slope of secent curve we will get the  slope of the given curve

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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