dy 6a. I The derivative for the function y da

Q: Find the derivative of the function. y = sec 2 ( m b)

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

Q: dy 13. Find the derivative, dx' x³y? = In(xy²) – 7x2

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Q: dy for the function dx b. [1.5 marks] The derivative y = cot-l V14 – x²

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Q: dy 1. For y = xe*, find the derivative dx

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Q: Find the derivative of the function. y = ln[t(t2 + 3)3]

A: We first expand the given expression using the properties of logarithm

Q: Find the derivative of the following functions. 1. y={x-y°+1 2. y=e** secx y%3e'

A: To find The derivatives of the given function.

Q: dy for the function y GI The derivative

A: Note: You have posted multiple questions, we have solved the first question for you if there is a…

Q: dy Find derivative dx x2 + xy + y? = 1 %3D

A: In implicit differentiation , we differentiate each side of an equation with two variables (usually…

Q: Find the derivative of the function. 8. y = 7 dy %3D xp

A: As we know thatddxxm=mxm-1

Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Given equation - x3+y53 = 2x13+y53 = 2Differentiating with respect to x to find the slope…

Q: dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by…

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Q: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

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Q: Let y= 9 x5 – 1. Find A, B, and C so that dY = AxB + C. A В C = Then find the value of the…

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Q: Do not intergrate

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: dy The derivative for the dx 22 22 + 22 function y =

A: We use chain rule to solve this derivative

Q: L. Find the Indicated derivative. 1. y; given r'+y' =8

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Q: dy 5. Find the derivative, dx' x²y = x3 – exy

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Q: dy 10. y? = x3 Find in terms of x and y. dx

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Q: Find the derivative of the function y%39 tan(3x). dy %3D dx

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Q: 5. dy for the function y dz The derivative 5

A: Given, Y = ( X/5 + 5/X)5 Formula used: d[f(u(X)] / dx = f'(X). d u / dx

Q: For the function y = х2 х3 find the derivative dx dy УЗx

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Q: dy 19. What is the derivative, of the function, dx y = 3x? + 6x – 4 + 2e* – 3ln x %3D -

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Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: Given: x=etsinty=e-tcost We have to find dydx.

Q: Evaluate the derivative of the function r(t)=⟨sin2t,cost,2sect⟩ at t=π6.

A: To find the derivative of the given function.

Q: d²y Find the second derivative, dx2 a. x = t² + 1 and y = t³ t2 b. x = 2 · + 2 and y = sin(t + 1)

A: This question can be solved using the concept of second order derivative.

Q: Find the derivative of the following functions. 2. y=e* sec sec x 1. xy=(x-y)+1

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

Q: Find the derivative of the function. f(t) = 7t sin(tt)

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Q: dy for the function dx The derivative y = 6. - +

A: We will find  the derivative dy/dx for the function  y . Here , we will differentiate with respect…

Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: An equation is given as y=6x3+5x2. The objective is to find the second derivative of the given…

Q: dy The derivative for the function dx y = cot¬l V4 – x²

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Q: Find the derivative of the function. y=4 e 5x+2 dy %3D xp

A: Given y=4 e5x+2 Find: The derivative of the function The following formula is used  ddx(eax) = aeax…

Q: dy For the equation xy + 3x + 4y = -2, calculate the derivative at the point (1, -1). dx

A: The equation xy+3x+4=-2. We have to calculate the derivative dydx at the point (1,-1).

Q: Find the derivative of the function.

A: st=1+tt+34

Q: dy for the function y = cot 'V4- 2² dr The derivative

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Q: d'y 6. Find by implicit differentiation. x + y = sin y

A: It is implicit differenriation.

Q: Find the derivative of the given function. y=1.75(1-2) y%3D dy II

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Q: Find the derivative of the function y = xe2a. dy d.x

A: The given function is y=xe2x To find: dydx

Q: Find the derivatives of the functions y = (1 + t2) cot-1 2t

A: We have to find the derivatives of the function: y=1+t2 cot-1 2t When two functions are in product…

Q: Find dy/dx the derivative of y for each of the following( implicit derivative): 1) y? = 4x4 2) x 2…

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Q: Find the derivative of the function w=(9r−4)^4. dw/dr=?

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Q: Calculate the derivative indicated. d'y 2 where y = 4. dx? x=7 Answer:

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Q: dy b. 1The derivative for the function dx y = cot¯ 3– r2

A: We can solve the given problem using chain rule of derivative.

Q: dy Find the derivative, for the following function. dx y = + 5x + 1

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Q: Q1/ Find dy/dx by using the definition of derivatives for the following functions; 1. y = =

A: 1) Given- y=-4xx To find- The value of dydx using the defination of derivative for the above…

Q: dy for the function y = e` dx tan 8x Find the derivative

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Q: Which of the following is the derivative of y = Select one: dy a. da 3. dy b. 3. dy C. da 2. dy d.…

A: Option (b) is correct.