Determine g′(2) to the nearest tenth when g(x)=0.9x3 3x  (Do not include "g′(2)=" in your answer.)

Q: Find the derivative.   g(x) = 4^x/x^4

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Q: Find the equation of the function f whose graph passes through the point (0, 8/3) am whose…

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Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: The given function is fx=52-7x4. Find the second derivative of the given function. Here we use the…

Q: Find the derivative of y=-3/(t-2)4

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Q: Find the first derivative of f(x) =5x+6

A: We have to find first derivative of  f(x) = 5x+6

Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: What is the derivative?  (3x-4)2(x3)

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Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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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) = 2(3 - 8x) g'(x)=

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Q: Find the derivative of z² + 5 (à). f(x) 12-5

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Q: g(x)= 4-3x 3x² + x

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Q: Find the 3rd derivative of the functions: y = 12(5x2 –1)(x2 –1)

A: Find the 3rd derivative of the functions: Given y=12(5x2-1)(x2-1) To find dydx, d2ydx2, d3ydx3

Q: Find the derivative of f(x) = e3 (5x² + x)

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Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: What is the derivative of p(x)=(2x^4+2)^x

A: Using logarithmic differentiation we can find the derivative of the given function.

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: What is the fourth derivative? x^12+1

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

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

Q: 3. =メー1 x+1 デー

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Q: e3x-e-3x y - 23x+e-3X %3D

A: d2dx2e3x-e-3xe3x+e-3x=ddx12e3x+e-3x2=-243e3x-3e-3xe3x+e-3x3

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

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Q: sketch the shifted exponential curves y = 2x - 1 and y = 2-x - 1

A: The given exponential curves are:

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

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Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

Q: Find the derivative of g(x) = 4x 1+4* •

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Q: Find the second derivative of the function. f(x) = (3x° + 6)*

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Q: 33. Solve for the second-order derivative of the function below. Y = x 3x3 За

A: Differentiate two times wrt x

Q: Find the sixth derivative of y=-x^4-1/2x^8-5x^9

A: Consider the given equation y=-x4-12x8-5x9 To find the sixth derivative of the given equation, use…

Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

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: Find the derivative of the function: f(x)=  (3square root of x)-4x2 + log x +12

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: (4) Find the derivative of h(x) = 5x³esec(x) .3 %D

A: We need to find the derivative of

Q: X = t-1 2-1

A: Given that x=tt-1,y=t2t2-1. Compute the first derivative.…

Q: Find the First and second derivative of the given y=-x2+3

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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: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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Q: et g(æ) 5x – 4 ='(x) =

A: