ау 3 • Find for y = dx in each of the following ways: o Use the limit definition of the derivative; o Use the Power Rule (some algebra may be required) and other rules; o Use the Product or Quotient Rule. • Which of these did you prefer in each case? Why?

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Q: 10 at x + 4 x = 0 using the limit definition of the derivative. Find the derivative f' (0) of f(x) =

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Q: question 32

A: Given,

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A: This question is based on limit definition  Derivative

Q: 6 Find the derivative of f (y) =7tan(y) - 6.

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Q: Gottfried​ Leibniz, one of the inventors of​ calculus, initially thought that the derivative of​…

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Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

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A: Please refer to the image below.

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Q: question 29

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Q: Find dy ax oy Impticit dipTErentation 3. Find 2nd derivative

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Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

A: