Find the derivative of the following equations 1. y = Va? + x²

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: Calculate the derivative of the following function. y = sin (9t – 10)

A: Use chain rule to perform this types of differentiation first let p= 9t-10    then find dp/dt and…

Q: Calculate the derivative of the following functions. y = cos7/4(4x3)

A: We use the power rule and chain rule to find the first derivative.

Q: Find the derivative of the function. 8y9 y= In V+9 6.

A: The solution are next step

Q: Find the derivative of y = 6x°e* + 3x° y' =

A: Given data is : y=6x3ex+3x5 To find the value of derivative y' Formula of differentiation…

Q: Consider the the following equation. x² y + xy = e Which of the following represents the derivative…

A: To find the derivative of the term

Q: Find the derivative of the following with respect to the given variable 1. 2x -6x + 15x - 18 2. 5y -…

A: Solution: The objective is to find the derivative of the given functions

Q: Calculate the derivative of the following functions. y = (1 - ex)4

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Q: Find the derivative of the function y = x²e*

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Q: Find the derivative of the function.

A: Consider the provided function, ht=t2t3+22 Find the derivative of the function. Apply the chain rule…

Q: Find the derivative of the given function. y= 2x°-8x +16x+4 dx II

A:

Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:

Q: Calculate the derivative of the following functions. y = x(x + 1)1/3

A: To find the derivative of the function  y=xx+113

Q: Find the derivative of the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

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Q: Find the third derivative of the function given by the equation x2+3xy+y2=1.

A: Given the equation of a function:

Q: Find the derivative of the function = ex? y =

A: y=ex7

Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'x…

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

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Q: Find the derivative of the given equation below. d (Va + bs) ds

A: Consider the derivative ddsa+bs To find the derivative use the below rules exponent property,…

Q: Find the second derivative of the following equations using implicit differentiation: 5e 1. 5 = e…

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Q: Calculate the derivative of the following functions

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Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: Find the derivative of the following function. -3 y = (3x* + 4)* dy dx

A: Given a function  y=-3(3x4+4)5 To find the derivative dydx of the function.

Q: if x=t^2+1 and y=t^3, then the second derivative is?

A: x=t^2+1⇒dx /dt​=2ty=t^3⇒dy/dt = 3t^2​

Q: Calculate the derivative of the following functions

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Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

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Q: Calculate the derivative of the following function. y = (3x-4x°+4)24 y%3D dy dx

A: Please see the below explanation:

Q: Calculate up to 5th derivative the equation y = 2e¬4x

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Q: Find the derivative of the function. 4х-7 y = X +5x y' = D

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Q: Find the derivative of the following functions: 1. y= (2x + 1)(4x – 1)? y = 2. V3x x3/244 x² y = 3.

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative of the given function y = (2x+ 5)v4x – 1

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Q: Find the equation of y, given the derivative and the indicated point on the curve. y = 2(х - 1) dx y…

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Q: (а + 1)(а + 2) y = (а — 1) (а — 2)

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Q: Calculate the derivative of the following functions

A: The given function is y=θ2sec5θ

Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: Find the derivative of the given function. y 259x y' =0 %3D

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Q: Calculate the derivative of the following functions

A: y=1-e-0.05x-1

Q: Find the derivative of the function. x11 + 2 y = e y' =

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Q: Find the derivative of the following function. 3. 一 2 +2x 2 y3 5x +x°-2 y' =D

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Q: Calculate the derivative of the following function. y = (7x-8) dy dx

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Q: The derivative of ye+ xe+x+y=D0

A: Given equationyex+xey+x+y=0

Q: Calculate the derivative of the following function. 6. 6x y%3= 7x+1 dx

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Q: Find the derivative of the following equations (using formulas) 1 3. x = 4. y = x²(2x + 1)²

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Q: Find the derivative of the following equations:  1: y=e2x^2 - x +2x -3x 2: y= ln(x3 / 2x2+3)

A: To differentiate the given functions, by using basic rules of differentating standard functions…

Q: State the derivative of the following functions a) y = -x* 2. b) y = c) y = 2cos(x²)

A: Authoring guidelines:…

Q: Calculate the derivative of the following functions. y = (5x + 1)2/3

A: The given function is: y = (5x + 1)2/3 The chain rule is: ddxfgx=f'gx·g'x And, the derivative of xn…

Q: Find the derivative of the function q=14r-

A:

Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find