dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: 2x-1 dx

A: Given,

Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: y - 1 %3DCOS (7x*) dy dx %3D

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: COS V4- x2 dx -2 1/2

A:

Q: - у = 3x-2 4x-5

A:

Q: Find ds/dx if= y= In[(2x^3+7) (9x-2x^2)]^5 Hint: Use the Tattoo and the Properties of Logs

A: Given y=ln2x3+79x-2x25 Using properties of ln, 1) ln an=n·ln a 2) lna·b=ln a+ln b  y=5…

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

A:

Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

Q: 4 6 (1+ tan²x) dx =

A:

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

A:

Q: Find f''(x). f(x) = (x² + 1) ⁹

A: Here we have to find the double derivative of the given two functionsy=(x2+1)9and y=-7x6+1Here these…

Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

A:

Q: 1/2 (5x+ 3x"-7)ck

A: Solution

Q: X cos (3x) dx,

A:

Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15

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: