3) Use FTC2 to find the following derivatives: a. b. d S [*cos(√2t) dt dx d dx >3 e5x tan ¹(√2t + 1) dt

Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

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Q: Find the derivative d cos t dt dz

A: Given : ddx∫0xcostdt

Q: Use implicit differentiation to find dy/dx. e3x = sin(x + 8y) %3D Select one: O A. dy -3eX %3D dx…

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Q: I thought the derivative of sin(e2x) was 2e2xcos(e2x) but in the answer we just have…

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Q: Find the following derivative. (4* + 8) In x) dx

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Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: Use implicit differentiation to find and using the following equation. dx x² + 2y² = 9

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Q: Using the Extended Power Rule Find the following derivatives.

A: A. ddx9x5=ddx9x-5 Use the power rule of derivative which states ddxxn=nxn-1 Thus…

Q: 5x² + 3xy = 3y², find the derivative dy da. as a function of x and y.

A: Consider the equation

Q: Find the anti derivative of the following: (√x/2 + 2/√x)dx

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Q: ) Use implicit differentiation: + x²y +4y? = 6 %3D

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