Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: find the derivative using the appropriate rule or combination of rules. y = 4e−x + 7e−2x

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Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: Calculate the derivative of the function. s (z) = () 8z+5 2z-6

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

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Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

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Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

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Q: Vt- 4 V3t - 4 y =

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Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

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Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: Use the chain rule to find the derivative of f(z) = 4(4z5+5z“) i

A: Given : fx = 44x5+5x4-12

Q: Calculate the derivative indicated.

A: Given: s=4z-16z2  ……1   To find: dsdzz=2

Q: Calculate the derivative indicated.

A: Given: s=4z-16z2 To Find:  dsdzz=2=?

Q: Calculate the derivative.

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the derivative using the appropriate rule or combination of rules. y = (4t + 9)1/2

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Q: Obtain the derivative of the function y 4y sen (3x) – 7x In(2x + y) = e* - ey + 4tg(y)

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Q: Use forward difference approximation to estimate the first derivative of the following equation.…

A: Given that, fx=-0.15x3-0.2x2-0.5x+2.25h=0.5We need to find the first derivative of the function at…

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Compute the indicated derivative using the chain rule. X = 4 + 3t, y = -7t; Oy

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Q: Find the derivative of by using the product rule." y = (1+ V) (a 3-2) 3 5 2 2 3 -3x +-X 2- -3x 3.…

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Q: Compute the derivative using derivative rules. y = sec( √t 2 - 9)

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Q: Compute the derivative using derivative rules.

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Q: Find the derivatives of the functions in Exercis

A: Given, y=5-2x-3+182x+14

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Find the derivative at the given x-value with the appropriate rule. y=4-18sqrt x at x=4

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Q: Find the derivative. Ni at

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Q: Find the derivative using implicit deffirentiation of x^2 - 2xy +y^2 - 6x + 2y = 0

A: Given,          The derivative using implicit deffirentiation of x2-2xy+y2-6x+2y=0

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: Find the derivative using the long method 3 u = t2

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Q: Find the first and second order derivative w=3z7-7z3+21z2

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Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: Find the derivative using the long method 3-t to

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Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: Find the fourth derivative of f (z) = 27 + In (z) – 160z. %3D

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Q: 3. х %3D у* — 2у3 2y3

A: We can find the answer as below using delta method

Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…

Q: Find the derivative of f(z)=((11z+4)1/2)(e3z).

A: Given function f(z)=11z+412e3z

Q: Find the derivative. USING CHAIN RULE 4 y = V3x² – 5x + 2

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