Find the derivative of the function using the definition of derivative. dy Ay lim dx A-0 Ar 1. y=37 2. y=12+7x 3. y=1-3x

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A: We have to find

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A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

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A: ddy(eyye)=ey(eye-1)+ye ey   [From chain rule]

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A: Since you have asked multiple questions in a single request, we will be answering only the first…

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Q: Use the Product Rule to calculate the derivative.

A: y=t-8t-1et+t2

Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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Q: Can i get help step by step please

A: We have to use the formula: with a=11

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A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the…

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Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y = x/x

A: To find the derivative of a function

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A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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A: we have to find derivative

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A: dy/dx from definition of derivative is given below

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Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

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A: Given that        y = sec-1(1/7t5) Now we have to determine the derivative of y with respect to t.

Q: Can you help me step by step?

A: We use chain rule of differentiation which states that if f(x)=g(h(x)), then f'(x)=g'(h(x))h'(x)

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Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

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