Find the derivative of the given functions using chain rule. 1. f(x) = (2x + 1) 2. f(x) = (x² + 4x – 5)* 3. f(x) = (3x– 2)* 4. f(x) = (x² + 1)² (x² – 1)² 5. f(x) = (2х — 6)* (x + 7)7 -2 6. f(x) = (x² + 4) %3D

Q: What rules do you know for calculating derivatives? Give some examples.

A: Given:What rules do you know for calculating derivatives? Give some examples.

Q: Hmh ok w do uou find the derivative

A: We have been given a function and we are required to find its derivative. First of all, we will use…

Q: The average value of gold per ounce over time is modeled by V(t) = 45t+ 279, where t = time in years…

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Q: Using the definition of the derivative. find the derivative of the following functions.

A: Given,    5.      324

Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

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Q: State the original function. Given the function below, sketch a graph of its derivative on the same…

A: Original function is  f(x) = 12sinπx-π2+12

Q: Find the derivative. d 3 (1²+71) -5 dt -5 13 (1²+71) = dt

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Q: Find the derivative of the function. k(x) = -2(12x²+5) -6

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Q: Using the Limit Definition of the Derivative determine the derivative of the function below f(x)…

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Q: Find the derivative of 27e-5t. O-135e5t O 5e-3/5t O 15e-5t O-5e-5/3t e-5/3t

A: The given function is (27e-5t)1/3

Q: Find the derivative of the function. dx y=-6 (-7x2 + 4x) = || 5 2

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Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y…

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2

Q: Use the chain rule to find the derivative of lor67, 8x

A: To find the derivative of 106x7+8x6 using the chain rule. Solution: Chain rule of derivative states…

Q: fcac) fCre)ニ2x+5

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Q: Find the third derivative of the given function. gt1) = (G)? - 2)

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Q: The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use…

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Q: compute the derivative of the below graph 6. 4- -3 1 0 -2 -4 -6 w. 2.

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