Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y = 2ex^3 3. y = 2x^3 + 3e-5x

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A: Given : hx = x2+132x+52

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A:

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Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: what would be the output if the 2nd derivative is negative

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A:

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A: Soln:To find the derivative of sinh-1x

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Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

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A:

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

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A: We will differentiate the given problem with respect to x.

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Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

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A: Given:

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A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

A:

Q: Find the second derivative of

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below

Q: If 2x^2+3x+xy=5 and y(5)=-12, find y’(5) by implicit differentiation

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Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

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Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

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Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

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Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

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A:

Q: 2) Use logarithmic differentiation to find the derivative (Vx + 3)(x – 7)5 f(x) : (x3 – 4) - -

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A: We first find the first three derivatives using the power rule

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A: Find the first derivative of y=arctan⁴(3x⁵)

Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

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Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

A:

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

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Q: Solve the first and second derivative of y = cosh2x+ sinhx

A: