sin sin x lim ||

Q: 2+tanx If f(x) = find f'(x) 2-tanx

A:

Q: A What is the geometric interpretotron d the derivative f'(a )? O Compute im 2-x 人フ1

A:

Q: 2 QX = X² x + 2

A:

Q: Derivative of the function f (x) = tan x at x = n/4

A: Differentiating with respect to x, we get

Q: Use the following definition of a derivative fla=lim f\x-f(a) x-- a x-a To find fa), where f x=x°-…

A: Given, f(x)=x3-2x  To find f'(a).  Solution: f'(a)=limx→af(x)-f(a)x-a      =f(a)-f(a)a-a=00

Q: Differentiation F(x) =cos[ ( root sin(tanaxl]

A:

Q: If ƒ (t) is an integrable function, then / f (x) dxrepresents a family of functions. O True O False

A: Option B will be the right answer.

Q: f(x) = Arc tonX 1-x2 Arcsinx %3D

A:

Q: 22. f(x) = sin x cos x tan x

A:

Q: Find the limits

A:

Q: E Discuss "The Continuity of y = Sin T

A: We check continuity of given function at x=1

Q: 1. Plot Sinc function, where sinc (x) = sin(x) / x -2n < x <2n %3D

A: We solve the given problem using concept of graphical plotting.

Q: a)_f(x)= x+3 x²+3x x²-3x b) f(x)== c) f(x) = |x³ − 1| -

A: Differentiability

Q: by using mean value theorem prove |sin(x) – sin(y)I < ]x – y|

A: To prove sinx-siny≤x-y Let f(t)=sint ∀t∈(x,y) Then we have the mean value theorem f'(c)=f(x)-f(y)x-y…

Q: sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show…

A:

Q: 3) f(x) = cos5 (tan (sin²(x*))) ||

A:

Q: sin x lim x→0* sin Vx X

A:

Q: What is interior points of a differentiable function? Explain.

A: Interior points of a differentiable function:    A differentiable function is a function in one…

Q: Use Sagemath to find the 9th derivavtive of f(x)=(x^2+1)*cos(x).

A: Given: fx=x2+1cos Objective : To evaluate 9th derivative of fx

Q: ind the third derivative for for f(x,y) sin()

A:

Q: 10.. Compute the area bounded by the x and y axes and the parametric curve given by the equations…

A: We can solve this using given parametric equation.

Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.