x In(x) dx.

Q: x COSI dz dx dy

A: Simplify the integral

Q: S.Si dx dy о 1+ху

A:

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: dy الحل العام ل لمعادلة e2x+3y dx

A:

Q: x³ – 3xy + y? = 5

A:

Q: Find dy/dx by implicit differentiation   y Cos x = x2 +y2

A:

Q: e 1 dx x/In x 1

A:

Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: 2- e dx 十e X X e dx 2.

A:

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: Find dx * for y = (x² + 2)°(1 – x³)* using logarithmic differentiation.

A:

Q: e | Vĩ In x dx 1

A:

Q: x*+e*)dx -In

A: Given: I=∫x-1+exex-ln1xdx So, simply we can write as; I=∫x-1+exex-ln1xdx=∫x-1+exex-ln1-lnxdx…

Q: Calculate dy/dx using implicit differentiation. x = y2

A:

Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

A:

Q: Solve : dy =>(x² -1). dx

A: The given differential equation is…

Q: dx

A:

Q: Find dy/dx by implicit differentiation.

A: Given: x2+y2=64 To Find: dydx by implicit differentiation

Q: 1 What is S dx? x²+2x+5

A:

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

A:

Q: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

A:

Q: compute the given derivatives d/dx (ex) `x= e

A: We have to find  ddxex=? at x=e   Let y=ex Taking log on both sides, we get log y=x Differentiate it…

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: find dy/dx by implicit differentiation √(xy) = 1

A: xy=1Concept: In implicit differentiation, while differentiating y, one need to use dy/dx.Product…

Q: Evaluate the function: ( e* +1 dx et

A:

Q: dy/dx if y = ln x/x2

A: Given y=lnxx2

Q: Find dy dx x +3 Sint de X-x

A:

Q: find dy/dx by implicit differentiation y2 = 2e-1/x

A: We have to find dydx by implicit differentiation for the given equation: y2=2 e-1x We know formula…

Q: d*y dy is dx x dx ferential

A:

Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

A:

Q: ) dx dy is

A:

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: x* +x?y² + y³ = 5

A: x4 + x2y2 + y3 = 5 Differentiating with respect to x; 4x3 + x2(2y* dy/dx) + y2(2x) + 3y2 (dy/dx) = 0…

Q: Find (x' In(x)). dx

A:

Q: dx a) I = [ In(1+x²)dx b) I = [ x(1+(ln x)')

A: We have to find out integral

Q: O = 4xy x³ + y³

A:

Q: x In y dy dx -1J

A:

Q: xe9x dx; u = x, dv = e9x dx

A:

Q: | Find dy/dx if y = e*+x).

A: Given,          y=ex+x2

Q: dz dx dy x+3

A: I=∫02∫03y∫x2+3y28-x2-y2dz dx dy   Integrate it with respect to z. I=∫02∫03yzx2+3y28-x2-y2 dx…

Q: Integrate x?dx

A:

Q: Find the indicated derivative. dz if z = In (x° + e 5) dx dz dx

A: Given data is: z=lnx8+e5 To find the value of dzdx

Q: dy when x=Ve is dx

A:

Q: I = Si S (x² + y³) dy dx.

A: