5. dx of y = (1+e-*)²/(1-e-*)

Q: 2 e3t cos(400nt) 8(t – 1)dt

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Q: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

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Q: Evaluate y' y = cosh²12x +sinh²6x

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Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: find d2y/dx2 at x=2 a. y=x^(2) (\sqrt(x)+2) b. y=3x^(2)-(4)/(\sqrt(x))

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Q: 1 4 √x 5 18 dx =

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: s(t) = 1/t^3;  (-6 , -1/216) s'(6)= ?

A: Given: s(t)=1t3−6<t<−1216s'(6)=?

Q: Ex+ 8x3-72x?+4 三X'

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Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: if y= (1+e^x)X^3 then find y`

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Q: find Dxy if y=e^(-2/x^2) Dxy=?

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Q: Find y'  if e x/y      = x   -y

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Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

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Q: If f(x) = 7/¤(x – - 3/a + 5), find f'(9).

A: Given : f(x)=7x x3-3x+5 We have to find f'(9)

Q: Find y''. 6 7 y=x + 4x y'' =

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Q: Calculate y'  if y=1/(x+(x)^1/2))^1/3

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Q: (2x+3)5

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Q: Exercise 1. Find 뿐 for y =DIn (골) (1A) + 3극 3z-2 z(r-1) (1B) 분 (1C) -= (1D) 를-3금 z-1-r z(1-1) (1E)…

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Q: 9/ (4x’y² - 2xy)dx + (3xʻy* - x*)dy = o

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Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: Differentiate. y = 1 — х* y' =

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Q: Find dim(Q(a)), where

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Q: Evaluate y''' or d^3y/dx^3 of the function (1/3)x^3 + (1/3)y^3 = (1/3)^2  when x = 0

A: Given, 13x3+13y3=132.   The objective is to find y''' at x=0.   Now, 13x3+13y3=132y=91-3x333

Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

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Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: find dy/dx of x^5y-xy^5=1

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