Use the graph to evaluate each definite integral. [₁5 f(x)dx f(x)dx = L' f(x)dx

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: Find the derivative of the function. 9 5-2 +8√x x5 h'(x) = h(x) =

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Q: Use the 1st Derivative Test to find the local extrema for each function. 1. y=x²-x5

A: 1.

Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

Q: y=ln|sec3x + tan3x|

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Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: 17. Find the first derivative for J(x)=tan0x sec0

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Q: The graphs of the functions are shown in the Let h(x) = f(x) g(x) and k(x) = f(x) g(x) & figure. ,…

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Q: Use logarithmic differentiation to find tan¹ a cos(csc−1r) sinh-

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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