f (x) — 1 — х3 — бх5

Q: f (x) = (x² – 1)**1

A:

Q: Find the derivative of the function and evaluate  f '( x) at the given value of x.…

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Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

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

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Q: Find the derivative of the algebraic function H)x) = (x6 - 5)(x3 + 3).

A: Given that : H(x) = (x6 -5)(x3 +3). We find derivative of this algebraic function. We know that…

Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

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Q: Find the derivative of the function. Simplify and express the answer using posi c(x) = 8x x3 + c'(x)…

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Q: Find the derivative of the algebraic function. c° - x³, c is a constant. c3 + x3 f(x) = %3D

A: This problem can be solved by using the Quotient rule in derivatives which is explained in step 2.

Q: Use the following definition of derivative as a function f\x+h}-f(x) f\x)=lim h h --0 To find the…

A: A function is: a relation from a set of inputs to a set of possible outputs where each input is…

Q: Find the derivative of the function.. 8 7 h(x) 218 4 х - h'(x)=

A: To find the drivative of the given function y=h(x)

Q: Work out the derivative of each of the functions below> a. f(x) = 3 ( x - 5)4 + 121. %3D

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

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Q: x2 + 6 (a). f(x) x2 – 6

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Q: Find the derivative of the function and evaluate f(x) at the given value of x  f(x)=(3x-2)(x^2+3);…

A: Use the derivative of the form f = uv.

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: Use the formula  to find the derivative of the function

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

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

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given information: f1x=x+2

Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

A: f(x)=x3-6x2+12x

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

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Q: Suppose that a function f(x) has derivative f' (x) = g(x)+ h(x) for some functions g(x) and h(x).…

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Q: 3. Find the derivative of f(x) = 5x - 7 using the formula h f(x+h)-f(x) h

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Q: 5. f(x) = (3x² + x)e5x² %3D

A: Explanation of the answer is as follows

Q: Consider the following functions (on the given interval, if specified). Find the inverse function,…

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Q: Q2/ Find the derivative of the function f(x) V4-x2 by definition

A: The derivative of a function f(x) with respect to x is given by limh→0fx+h-fxh. The given function…

Q: Find the derivative of the following function using the formula. f(x + h) – f(x) lim h-0 h f(x) =…

A: I am attaching image so that you understand each and every step.

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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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: Compute the derivative of the given function in two different ways. x3 h(x) = + 8x2 6x2 g· f' – f ·…

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

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Q: Given f(x) = 3 x² – 2 vx , which of the following expressions will represent the first step when…

A: Given,          fx=3x2-2xWe know that,          The derivative of a function, fx using the…

Q: 8. y (1 + x³)(3 – 2x) 10. y = (x2 + 3)(x² – x + 1

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: Compute the derivative of the given function in two different ways. x3 + 4x? h(x) = 5x2 g• f' – ƒ ·…

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Q: Find the derivative of the following function by first simplifying the exp x2 - 64 g(x) = x-8 ....…

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Q: Find the derivative of the function and evaluate f'(x) at the given value of x. f(x)=(3x+1)/(3x-1)…

A: f'(X)= -9/(3x-1)2 f'(3)=-9/64

Q: The derivative of the function ein(10) is equal to

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Q: Find the derivative of the algebraic function.

A: Given, fx=x1-4x+3

Q: Q2/ Find the derivative of the function f(x) =V5- x2 by definition

A: →When limit is of the form 00or∞∞ (Indeterminate form ) then L Hospital's rule is used . In this…

Q: Use the derivative of a function definition to find f ′(a) at the given number a. f(x) = (5x+6)1/2…

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Q: nd the derivative of th

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Q: Find the derivative of the function f(x) = 3x? – - 12x – 28 by definition of derivatives f(x + h) –…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Given f(x) = v9x – 7, find f' (8) using the definition of a derivative. (Do not include "f' (8) ="…

A: Given f(x)=9x-7

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given:fx=x3+3Formula:ddxxn=n.xn-1

Q: Evaluate the derivative of the inverse function of f at the given value c) f(x) = Vx² + 4 find…

A: Givenf(x)=x2+43

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: