f (x) = sin(2ax + x)

Q: find the derivative  f(x)= square root of 1-sin2x

A: The given funtion is,

Q: find the derivative  f(x)=cosx/1+sinx

A: The derivative of the function as follows.

Q: Find the third derivative if the function. 15. f(x)= 1/x

A:

Q: y = [x+ (x + ¯ sin² 3x)°]

A:

Q: Find the derivative of the function. y = −6 sin 3x4

A:

Q: Find the derivative  f(x)= sin 2xcos2x

A: The given function is,

Q: Find the higher order derivative. f"(x) = 7x2 + 8x – 18 f(5)(x)

A:

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

A:

Q: Find the derivative of f(x)=[sin(3x)]^3

A:

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Compute the derivative. f (x) = (2x4 − 4x−1) sec x

A:

Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: find the derivative f(x)=square root of 1-sin2x

A: The function f is in terms of x.Apply the chain rule and obtain the derivative of the given…

Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: 4x +2 x-12 7. f(x) = 2x

A:

Q: Find the derivative of the function f(x) = 7x sin(4x).

A:

Q: f(x)%3 sin-Vx-1

A: Our Aim is to find the derivative of f(x)=sin-1x-1 -(i)

Q: Find the higher order derivative. f"(x) = 3x² + 2x – 15 f(5)(x) =

A: f''(x)=3x2+2x-15

Q: Find the indicated derivative. If f(x) = Vx + 4, find f"(x). f"'(x) =

A:

Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

A:

Q: y = csch /sec(x³ + 2)

A:

Q: How do I find the derivative of g(x)=sinxcos(5x2)?

A:

Q: Use the Quotient Rule to calculate the derivative. f(x) = ex / (x2 + 1)

A: Consider the given function as fx=exx2+1

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

A:

Q: For f(x)= e^x (sinx), find the second derivative.

A:

Q: Find the derivative of the function. y = 2 sin4(4x2)

A: y = 2 sin4(4x2) dy/dx = ?   Useful formulas:ddx xn = nxn-1ddxsin(x) = cosx

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula:…

Q: Find the second derivative of the function f(x) = sin (2x4)

A: This question is related to differentiation, We will solve it using given information.

Q: r (4x2 – 3x + 5)* - 3.) c(x) = %3D sin x

A: solution:- find the derivative by using the quotient rule

Q: Find the 35th derivative of f(x)= sin.x.

A: Given,             fx=sinxTo find: The 35th derivative of fx=sinx.

Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: Find the second derivative of the function. f(x) = sin(9x?) f "(x)

A:

Q: Derive the formula for the derivative with respect to x of sec x.

A:

Q: Find the derivative f(x)=sech^2*3x

A: This is hyperbolic function so use its respective properties with the help of chain rule of…

Q: Find the derivative of this function. 9x/(8-tan(x))

A:

Q: Vx-3 6. f(x) = X-9

A:

Q: Help to find the derivative of f(x)=1/4x. ?

A: given f(x)=14xwe have to find the derivative of given f(x)

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: yFSin 2e

A:

Q: find the derivative f(x) = sin (x^−3/e^-x )

A:

Q: find the derivative of the given function. f(x)= 3x2- sin(x)/x

A: Given

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: What is the derivative of f( x = zi; = x 3 ? Or(-) = 3 F(=) f'( x Of(2) = 3= F(=) OF(2) = }ei OF(-)…

A: To find the derivative of f(x)=x2/3

Q: 1. f(x)=In(tan-x)

A:

Q: f(x) = 7xe

A: We can find the answer as below.

Q: f(x)=4 sin¹+x+√4x²

A:

Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function

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: