Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3. f(x) = etan x 4. f(x)= In 2x 5. f(x) = ln(x³) 6. f(x) = ex In x SYSTEM

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Iff is the function whose graph is shown, let h(x) = f(f(x))…

A: Let h(x) = f(f(x)) and g(x) = f(x2) (a) To find the value of h'(2) = ?  Given that h(x) = f(f(x))…

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

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Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: Find any relative maxima and relative minima. relative maximum (x, y) = relative minimum (x, y): %3D…

A: The given function is - y = x(x-5)2y' = -x+5(x-5)3y'' = 2x+20(x-5)4

Q: 13-30. Derivatives Evaluate the derivatives of the following functions. 13. f(x) = tan¹ 10x (14.)…

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Q: x²Sin(x) y = In 2x + 1 9.

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Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: d steps for each problem

A: Here we have to find the derivative of  1) f(x)=e-x2 2) f(x)=ln(x3-5)2 3) f(x)=lnex

Q: 1. f(x)= xsin x 2. f(x) = x?cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) =

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Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

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Q: 6. Find the derivative of the function and simplify. Show work to get full credit. h(x)=log2 2x+1…

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: d. du Let f(x) = 7*tn 9 Find f'(x) by the formula [b"] = b6" In b - and dx %3D dx then by…

A: Given; f(x) = πxtan(9x).