h(x) = x – sin x for 0

Q: Suppose f(x) ) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k. Find…

A: We know that the derivative of x^n=nx^(n-1)

Q: Let COS X if x 0 %3D | (a) sketch the graph of f (x) (b) Is f (x) continous at x = 0? Give reason/s…

A: f(x)=cos x         if x<00                 if x=01-x2         if x>0

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

A:

Q: Function )= 0<xS49 f(9) Find

A: f(x) is the function which divided into two parts such that x&lt;0 is x2 and x&gt; 0 is root of x.

Q: Let Find f(x)\x= = ". y = f(x) = 31 sec x + 18 tan x 31 sec x 18 tan x d dx -f(x)\ x= 1 *

A:

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

A:

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

A:

Q: 5) lim X-2 Sin (3x-6) 2-x

A: We have to evaluate the limit of the following:

Q: Eketch a graph of the function f(x) = 5 sin ( 7x ) 3 6+ 5- 4- 3 -8 -7T -6T -5T -4T -3A -2T ST -2 -3…

A: Given, fx = 5sin13x  We have to sketch the graph of the function

Q: Sind f(x) (8x-91-4 Sind derivative ہا۔

A: To find derivative of given function.

Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Q Lim X4 Sin 2x 2x²+x

A:

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

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: