Calculate the derivative of the following function. y=f(g(4x)), where f and g are differentiable for all real numbers What is f(g(4x²))? d dx OA. f(g(32x)) OB. f(g(4x)) g' (32x7) Oc. r'(g(4x))g (4x) 32x7 OD. f'(g(4x))g (48) g' (4x) 32x7

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A: To find out the derivative of the function at x=1

Q: Find the derivative of each function a. y = 10x³ +5x4 -8x dy dx y': 6 xª x³ b. f(x)=- c. p(x) = -10x…

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Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: Differentiate the following function: y=6x' +5x -4x+2

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A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

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Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the…

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '