• Find the derivative of f (x) = 7x4 + 9x³ – 5x² + x + 1. o Where did you use each differentiation - rule? o Tell me how you knew where to use the constant rule and where to use the constant multiple rule

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

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Q: ax

A: Given: ∂∂xxa-ax for finding derivative of given function, we use property given below ddxxn=nxn-1

Q: Find the derivative of the function y = 3 sec (x+7). (Use symbolic notation and fractions where…

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Q: (3x²-5)°(4x³-7) 4. Find the derivative of f(x) DO NOT SIMPLIFY (first step only) (2x-1)*

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Q: Find each derivative 4) y = x-* (use logarithmic differentiation)

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Q: Apply the rules of derivatives to find the derivative of 4x3 – 2x? h(x) x2 cos x

A: Here the function h(x) is given, we have to find the derivative of the h(x). Before applying rules…

Q: h(x) = (x − 3)º(5x² + 3x)²

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Q: 2. What is implicit differentiation? When do we use it? Give examples.

A: What is implicit differentiation and when do we use and give examples

Q: |(9-x)³ x² – 2 9. f(x) = In -

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Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function f(x) = Snce…

A: Given: f(x)=∫sin(x)31+t3dt

Q: Differentiate the following using implicit differentiation 3/a + V =7

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Using the definition, find the derivative of f(x) = _I 3√x -X

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Q: Use the quotient rule to find the derivative of - 8 sin(x) + 2 | 3x4 + 6

A: We need to evaluate the derivative of the following function -8sin(x)+23x4+6

Q: Can you help with this practice problem

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Q: Use logarithmic differentiation to find the derivative of the function. V5 + 4x2 y = 3 Vx2 + 1 y' =

A: Given that: y=5+4x2x2+13

Q: Check Your Understanding: Find 2x+5 function g(x) = 3x-2 d dx 2x+5 or in other words, compute the…

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Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: f(x) = x° + 6x³ + 3x, then find the second derivative, f" (x)

A: see below the answerddxxm=mxm-1

Q: Use logarithmic differentiation: 4x+7 y = х-5

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Q: find the derivative of the question in the picture please show all work

A: Obtain the derivative of the function.