O g(x) = (3t+ 2) dl t %3D

Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: Differentiate dx y=3x²+2 (3x² + 2) = 3+.

A:

Q: \text { 5. } \frac{d}{d x}[c]=0

A: To show: That ddxc=0. Concept used: Power rule of differentiation: xn'=n·xn-1 Calculation: The…

Q: 3 dx 23. (x-1)(x 2)

A: Given,

Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: (4cscxcotx + 2 sec² x)dx

A:

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: y = (x2 + 2)5 (3x* + 5)3

A:

Q: frx) = x² -5x* , 5x * 3 %3D t X-intercept

A:

Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: 2/Jx-5 5)=4(5x-5) %3D

A: Given,          2x-5=4x-5

Q: xdy = (y - Vx² + y²) dx

A:

Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

A:

Q: c. g(x) = (10 – 2V)(3lnx + x³) Answer: g'(x) = , Sinx d. y = 6+0.5x2 (do NOT expand) Answer:

A: Derivative of given function

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

A:

Q: 3,3 (xyリdk+ x°dy : 0

A:

Q: y = (In x)*

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

Q: Differentiate y = 11x4 +3

A: given to find

Q: Shows : V9x² +25 (12) dx = 3 ln 3x + V9x² + 25 V9x² + 25 + C -

A:

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: 8.) Find of y3 = x* + 3x d?y dx2

A:

Q: y= Sinh (3x+5x+6) 2. %3D

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

Q: х2 9 dy + sinx - у %3D0 dx

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.