If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by 1, Write an equation for the function. g(x) =    The slope of this line is:    The vertical intercept of this line is:

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

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: Find the derivative of the function at the given point (a) by approximating the definition of the…

A: Given: f(x)=x1x   To prove: Find the derivative of the function at the given point (a) by…

Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

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Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

Q: 22x Find the derivative: f(x) = x²e2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

A:

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f…

A: Given data: The given function is f(x)= -1- e-x. The slope of the tangent line is f'(x)=5. The…

Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

A:

Q: Find the indicated derivative for the function. -6 h''(x) for h(x) = 9x - 9x h'(x)=

A: Given: The function hx=gx-3-9x-6.   We need to find h''(x)=? hx=gx-3-9x-6We need to find…

Q: Given f(x) = -x – 8, find f' (9) using the definition of a derivative. Provide your answer below:…

A:

Q: If f is a differentiable function, find an expression for the derivative of: 2f(x)

A: given that y=2f(x)exdifferentiatee on both side we apply division rulee here

Q: Find ƒ‴ (x) , the third derivative of ƒ, and ƒ (4) (x) , the fourth derivative of f, for function.

A: To Determine: The third and fourth derivative of fx=x2x+1

Q: Find the derivative. y = x2 / x2+1

A: We need to find the derivative of given function. Here we use quotient rule of differenciation to…

Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

A:

Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

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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: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

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Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

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Q: C)Find the instantaneous slope of F(x)=xsquare-2x at x =1 over 3

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Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: Find the derivative of the function. g(x) =(e^x/(x^2+10)^4)  g'(x)

A: We use the product rule to find the first derivative g'(x)=exp(x)(x^2+10)^4+exp(x)*4(x^2+10)^3*2x…

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Find the derivative of the function. g(x) = 2(3 – 7x) g'(x)=

A:

Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Derivative: f(t)=ett(x)=9x-4f(x)=e9x-4We know,ddx(ex)=ex

Q: Find the derivative of the function. y = (x2 − 6)3

A:

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

A:

Q: Use the appropriate Derivative Formula for the algebraic function below. x2+1 2. y = x2-1

A: y=x2+1x2-1In this we use quotient rule QUOTIENT RULEy=uvdydx=v.dudx-udvdxv2apply this rule in given…

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

A:

Q: Given the graph of the function f(x) below, estimate the derivative of the function at z = -2.…

A: As we know that, The derivative of the function at a point is equal to the slope of the tangent line…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: x = -t4 – 5t – 3 2.

A:

Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Find the derivative of the function. x2 + 8 f(x) = x - 8

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Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Find the indicated derivative for the function. -5 -6 h'(x) for h(x) = 6x 4x h''(x) =

A: Given: hx=6x-5-4x-6We need to findh''x=?

Q: Find the derivative of the function. g(x)=(4x5+1)4

A: We have gx=4x5+14Using power ruleddxxn=nxn−1