Given f(x)=x^2, after performing the following transformation.  Shift upward 48 units and shift 41 units to the right, the new function g(x) =?

Q: Find the derivative.   g(x) = 4^x/x^4

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Q: Find the derivative of the function.

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Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: Find the derivative of the function. f(x) = ((x2 + 3)5 + x)2

A: We use the power rule and chain rule.

Q: Use the chain rule to find the derivative of 16 f(2) = 2(– 3x0 – 52)" You do not need to expand out…

A: Given: f(x)=2-3x10-5x916

Q: Differentiate the following functions: ex- e-x 2. y e*+e-x

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Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your…

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812

Q: Give 3 expressions that have the following as a derivative. x) +x²

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Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: The approximate rate of change in height of a certain shrub in a nursery is given by f ' ( x ) = 12…

A: f'x=12x Integrating with respect to x on both sides, we get ∫f'x dx=∫12xdx⇒fx=12·lnx+C   →1…

Q: Use the Product Rule to find the derivative of the function.

A: Given :           The function h(x) = xx3 + 1 To find the derivative of h(x) using product rule.

Q: Use logarithmic differentiation to find the derivative of f(x) = x(x2 − 8)2/x-9

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Q: Q1: Use the definition of derivative to find the derivative of x2 + x.

A: In this question we have to find the derivative using the definition of the derivative.

Q: If f(x) (4a - 3)'(7x2 + 8)", find f'(x) using logarithmic differentiation. Preview Get help: Video

A: Applying log on both sides to the given function, we get

Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

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Q: 12. h(x) = ln (x + vx² – 1

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Q: can you explain..  differnate this function with the respect of x  F(x) = (x^8 + 3)ln x^5)

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Q: If f(x)=3sin(x)+4x^x, find f'(2). Using logarithmic differentiation.

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Q: se the chain rule to find the derivative of f(x)=4√2x3+7x8 Type your answer without fractional or…

A: given f(x)=4√2x3+7x8 f'(x) = dfdx        =d42x3+7x8dxwktda+bdx = dadx+dbdx

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the derivative of f(x) = log35x2+1

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Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

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Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: State the derivative. Do not simplify. f(x) = e² - 22

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Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: Find the derivative. [2x(x^6+1)^3]

A: Let y=2x(x6+1)3

Q: Let f (x) = log10 (15x²) + 22*. Find the derivative of f. f'(x) =

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Q: Use the chain rule to find the derivative of f(x)=4(5x^5+2x^4)^−1/2 The answer should look like…

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Q: Find the derivative of the function. f (x) = (4x - x 2 ) 100

A: Given, f(x)=(4x-x2)100

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 5æ5 You do not need to expand out your…

A: The objective is to find the derivative of the function f(x).

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Find the second derivative of the function. 1+20 (2-0) 20

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Q: Find the derivative of f(x) = logs((-x)° /9x +3) using the properties of logarithms.

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Q: determine the instantaneous rate of change for the function f(x)=7^x + 9log(x^x) at x=4

A: This question can be solved using the concept of derivative of a function at a point.

Q: Find the derivative: (x2+1)2x

A: We have to find derivative

Q: Use the chain rule to find the derivative of 18 f(x) = 2(5æ4 – 2x") You do not need to expand out…

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Q: Use the Product Rule to find the derivative of the function.                          g(x) = (2x −…

A: Given:gx=2x-31-5x

Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Differentiating f(x) with respect to x by dividing rule

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: The function f(x) = 5ᴫx2 describes the volume, f(x), of a right circular cylinder of height 5 feet…

A: Given that, Volume of right circular cylinder whose height is 5 feet and radius is x feet is,…

Q: Need to know the steps to get the derivative of (x-2)(x-10)^3

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Q: Use logarithmic differentiation to evaluate f'(x). (x + 4)8 f(x) = (3x - 3) f'(x) =|

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Q: Calculate the instantaneous rate of change for the function f(x)=2/3x+5 when x=-7

A: The function is f(x) = 2/(3x + 5). We have to calculate the instantaneous rate of change for this…

Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: A company has a stock valued at A, in millions of dollars, that changes at a rate given by dA dx =…

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