Given 2tanx +4y=4, find 1. dy %3D dx secx a. 2 b. sec'x C. 2sec'x 2.

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: d^2y/dx^2 for y=2x^3-5/x^2

A:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: Is r =b^2 + 1 is proportional?

A: If the rate of decreasing or increasing of two variable is same, then they are proportional.

Q: 10. Evaluate: 0 x³ dx Ĵ 47 ₁(2-x²)²

A:

Q: If Y = f(x) = 6/x^3, find dy/dx? Select one: O a. (-18)/x^4 O b. (-9)/x^3 O c. 6X^2 O d. 18x^3

A: Sol:- Given:- Y=f(X)=6X3

Q: (x^2 -1) dy/dx +2xy =x

A:

Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

A:

Q: d.x

A: Substitute u=x2

Q: Find -2 (2x5+ 3x¹) dx

A: Given that a integration and we solve this integration by using general property of integral.

Q: Solve for dx/y-xdy/y^2=0

A:

Q: x dy/dx + 5y = 2x^2y^4

A:

Q: how to variable seperable xdv/dc = -(v+1)^2 / 3+ v

A: We have to solve the following differential equation using variable separable method. xdvdx =…

Q: Find f'(x). f(x) = et 5x2 + 2

A:

Q: Find dy/dx for the equation xy^2+x=1

A: Given equation is

Q: If f(x) = V2x + 6, find f'(x). %3D

A: Given, fx = 2x+6  We have to find f'x

Q: What is the value of the expression 2r'y when x=-2 and y = 3? %3D

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: