Find the derivative of the following function by applying the definition of the derivative. State the domains of the function and its derivative x2 -1 g(x) 2х-3

Q: f (x) = (x² – 1)**1

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Q: Find the derivative of the function.

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

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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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: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

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Q: Evaluate the derivative of the following function. ƒ1x2= tan-1 10x

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Q: Find derivative of the function f(x)=x power3 -1/x-1

A: By applying the chain rule and quotient rule we find the derivative of a function.

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. x2. - 4x + 3…

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Q: The derivative of the function f(x) = 4x-1 is

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

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Q: x2 + 6 (a). f(x) x2 – 6

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Q: Find the derivative of the function below using the definition of the derivative. f(x) = 2³ + 2

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Q: Find the derivative of the function. f(x)= 10Vx- 6e*

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Q: Find the derivative of the function. f(x) 1 = - x6 + (x² + 4)(x² – x – 1) + 10

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Q: Find the derivative of the following functions.

A: The derivative of a function gives the rate of change of the function. It gives the slope of the…

Q: By using the first principle, find the derivative of the following functions. 1.  f (x) = x^2 - x

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: Give the derivative formula for the function. g(x) = 2.1* + g'(x) =

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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 f(x) = 5x-3 + x² + 14. f'(x) =

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: The alternative form of derivative of a function f(x) at x=c is given by f'x=limx→cfx-fcx-c. The…

Q: Q1: Using the definition, calculate the derivative of the following function. f(x)=4-x

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Q: Find the derivative of the function f(x) = 34x

A: The given function is fx=34x.

Q: Find the derivative by the definition of each of the following functions: - + 2x

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Q: Find the domain and the derivative of the following function. g(x) = √1-(√2-(√(3-x)))

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Q: Find the derivative for the following function. ソ= 9x

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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: Find the derivative of the function. f(x)= (x2+6/x)5

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Q: Consider the function: y = -3x3ex Find the first derivative of the above function.

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Q: Find the derivative of the function. 4 3 g(x) = x +4x - 2x - 5 g'(x) =

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Q: Find the derivative of f(x) = 3√x- 26

A: Please refer to the image below

Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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

A: Here we use the process of integration and use the given point to calculate the constant of…

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

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Q: Find and simplify the derivative of the following function. f(x) = x+3 %3D Which of the following…

A: The given function is fx=xx+3. Obtain the derivative by quotient rule as follows.…

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 g(x) = 3x2-1/(2x+5) using the Quotient Rule. Simplify your answer, if…

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Q: Find the derivative of the following function. f(x) = 8x° + 7x

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Q: Use the definition of the derivative to find the derivative of the function g(x) = 4 –x², then find…

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Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Use the definition of a derivative to the derivative of the following functions. x + 3 h(x) = 2х -1

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Q: Find the derivative of the function f(x) = 5arcsin(x-4)

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

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: 5- Зх f(x) = 5+ 3х

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Here we use the alternative form of the derivative to find the derivative at x=c Where…

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.

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

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