Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) = (sin(2x) + 1)7. a.) What is the inner and the outer functions? b.) What is the derivative of the inner function? c.) What is the derivative of the outer function evaluated at the inner function?

Q: e. y=x² sin(x²+5)

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Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: A function y with the property that y = -y" is

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Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: aw for w = f(p, q); p = g(x, y), q = h(x, y) ax А) dw ax C) dw ax = = aw ax ах др aw др + dw да aw…

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A: Let E = ( c12H11 + 2c1c2H12 + c22H22 ) / ( c12 + 2c1c2S12 + c22 ). We have to find dE / dc1 .

Q: 2) d) Differentiate each function below. Be sure to use proper notation to distinguish between a…

A: To differentiate the function given below.pr=r2 tanr3r+1

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5…

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…