If f(x) is a linear function, f(−5)=3, and f(3)=5, find an equation for f(x)

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

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Q: Find the second derivative of the function.

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Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

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

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

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Q: Find the derivative if  y = 12x5+3x4+7x3+x2-9x+6

A: Given: y=12x5+3x4+7x3+x2-9x+6 we know that ddxxn=nxn-1

Q: If f(x,y) = (2x)y, then f(4,3) is equal to ____________.

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Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

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Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: Find the derivative of the function. y = 5x² + 2* + 3

A: The sum rule of differentiation states that ddx(f(x)+g(x))=f'(x)+g'(x). The differentiation of the…

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: Find the derivative.  f(x)=5x^2e^3x options  - 5xe^3x(2x+3) - 10xe^3x(2x+3) - 10e^3x(3x+3) -…

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Q: Find the derivatives of: y=(4x2-3x)3/(5x3+2x2)2  and  the derivatives of:  y=(x3+5x2)3(x2+3x)2

A: (a) Consider the given function, y=4x2-3x35x3+2x22 The quotient rule of derivative…

Q: Find the derivative of C(x)=(2x3)/(3x4+2

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Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

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

A: Given: fx=x2+3x-3

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 given function. f(x) = (2 - 5x³)-2 1 f'(x) (2– 5x)-2 5x* 3

A: We have to find derivative

Q: Find the derivative of the function. y=3x2-11x-5/x5

A: We have to find

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

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Q: Choose two choices whose equation shows a nonlinear function. A y = 3x - 7 By = 2x + 1 D y = x + 3 E…

A: We have to choose two choices whose equation shows a non-linear function from the given options: A…

Q: Find the first and second derivatives of the function.  f(x) = (x2 + 4)5

A: Rule used:The derivative rules are shown below.

Q: The linear function f(x) = ax + b is a constant function if?

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Q: Find the second derivative of the function.   f(x) = x2 + 7x − 4

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Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: Find the derivatives of the functions y = (2x - 5)-1(x2 - 5x)6

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Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

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

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: find the first and second derivatives of the function f(x) = (x2 + 4)5

A: The given function is f(x)=x2+45.

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: Find the derivative of y = (x² + 4)²(2x³ – 1)³

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Q: If f(x) is a linear function, f( – 4) = 5, and f(5) = 1, find an equation for f(x). f(x) = (For best…

A: Write liner equation by taking variable parameter.