Find g′(9) given that f′(9)=−8 and g(x)=−2f(x).g(9)=?

Q: Find the indicated derivative of the function. 1) d'y of y - 6x5 - 4x2 - 4x + 1 dx4

A: According to bartleby guidelines I have to solve only one question.

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the differential of the function y=(3-x8)1/2

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Q: 2) Find the derivative of the following: (8x² - 14x + 3) 8.r2 b) 5x-6 e

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Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

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Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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Q: 2. Find the derivative of f (t) = (1²-3)° and simplify your answer as much as possible.

A: We have, f(t)=t2+3(t2-3)2   If we f(x)g(x) form, then the derivative of the function will be,…

Q: The second derivative , for the function 7y+ 13z 3a2 is O y = 9

A: Given query is to find the second derivative of the function.

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: Find the derivatives of the functions in Exercise

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Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

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

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Q: Find the second derivatives:y^n for y=1/8x^4-1/3x^3+3/4x^2-3x+5 And f(x)=2x/5x-2

A: (i): Given : y=18x4-13x3+34x2-3x+5 f(x)=2x5x-2…

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: Given f (k) = In(k² + 2k + 1) – 3ke + 6k2 – 9k a. Using the properties of derivatives, solve for…

A: The function is given by fk = lnk2+2k+1-3ke+6k2-9k To evaluate: The expression of f''k

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

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Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

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Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: f. y=In(x8+1)

A: We will solve the problem

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

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Q: For the function f(x) = 2cot x determine its stretching factor and phase shift and then graph it.

A: Given : The function f(x) = 2cot x

Q: 6e + 4 Find the derivative of g(x) 10r5 + 5x3 %3D = (z),6

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Q: find the second derivative and simplify the final result 10. y= (e^(-3x+4) +2) / (e^(2+3x) +1)

A: Given that, y=e-3x+4+2e3x+2+1 We have to find the second derivative of y with respect to x.

Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: 8) Find the derivatives of the following: a) f(x) = 4e* – 2x + 5 b) f(x) = ln 2x² c) f(x) = (4 – x)5

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Q: Find the derivatives of the functions p = √3 - t

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Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

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Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

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Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: 5. x= y= t2-1

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Q: Find the differential of the function. u = 3x4 + 4

A: The given function u=3x4+4

Q: (A) Find the derivative of t2 – 1 y = t2 +1

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Q3. Find the derivatives of the functions 2x + 5 a) y b) w = (2x – 7)(x + 5) Зх — 2 5x + 1 с) и 2 Vx

A: We have to find the derivative of the following functions a)  y=2x+53x-2 b) w=(2x-7)-1(x+5) c)…

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e.…

A: Given: c. fx=lnx2+4ex d. y=axebx e. y=e3x3-x2+5x-6 To find : Derivatives using chain rule. Formulas…

Q: find the following third derivative of y=(3x+2)2

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Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

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: