Find the derivative of the function two ways: by simplifying the function first and by using the quotient rule. Show that the answers are the same. h(x) = ** = 5** + vz - x2

Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

Q: Find the derivative of the function g(x) = sech2 3x

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Q: Find the derivative of the function and then evaluate at the given point. у 3 3x2- 2x; (- 1,5)

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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 the derivative of the function.

A: Given function is: f(x) = [ln (2x)]3 We have to find the derivative of the function.

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: By using the First Principle, find the derivative of the following function at x = 2. 4x + 3 f(x) =…

A: We have to find the derivative of f(x)=4x+3x+1 at x=2 by using the First Principle.

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

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Q: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

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Q: Find the derivative, the slope of the tangent line, and the equation of the tangent line at the…

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Q: Find the derivative of the given function from the first principle ax2+bx+c

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Q: Find the derivative of the function. X-1

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

A: Given: y=x2+3x+x we know that ddxxn=nxn-1

Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: Find the derivative of the following using the three-step rule Зх -1 1. у3 2x+5

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function.

A: Given: fx=ln 3x To Find: The derivative of the given function

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

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Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

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Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

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Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Find the derivative of the function. y = In(4x)

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Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the…

A: Follow the procedure given below.

Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

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Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: Find the derivative of the function f(x) = / (x³ + 7x) by using the definition of the V derivative.

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Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

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Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

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Q: 2х-3 3. у %3 Зx+4

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Q: Calculate the derivative of the function, then find the value of the derivative at the specified…

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Q: Find the derivative of the functionf(x) = (2 – x*)

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Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the derivative of the following function by definition (from first principle): 1-x f(x) =. 2x

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Q: find derivative of x3 x? 3x3 3x? noe of the above

A: Given,  The expression x3  We have to find the derivative of  x3.

Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.

Q: Find

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Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

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Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

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Q: Find the derivative of the following function by definition (from first principle): f(x) = x-1

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Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of…

Q: et g(æ) 5x – 4 ='(x) =

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.