Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate 32.4^(1/5). Use all the decimal places in the approximation, do not round your answer.

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

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A: Use the chan rule of derivative then simplify the result.

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Q: Use a linear approximation to estimate V65.

A: 653

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Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

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A: We have to find the derivative at that point

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Q: Are critical numbers from the first derivative used in the test for concavity?

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Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

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Q: Find the equation for the perpendicular trajectories of the family. 1. x - curve

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A: equation of the curve  is given below...

Q: 5,2 tahing the time demvativo of oq. 1 f> SallA go SAVA

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A: Answer and explanation is given below

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A: Given that side of a square a is 10cm and it is increased by 0.02cm.

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Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

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A: We have to state the difference between a derivative and integral.

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