L' -2s Find f s2

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

A:

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: Second derivatives Find d2y/dx2 . x + y2 = 1

A:

Q: integral: 5x sec2 (x) dx

A: ∫ 5 x sec2xdx

Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: Verify f(x). direction delta function 8(x - a)

A:

Q: Prove the identity.

A: We will use

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

A: Differentiating with respect to x, we get

Q: ● f sec³(x) dx ● ► f sec¹(x) dx • f sec³(x) dx MTH 32

A:

Q: Partial Differentiation. If u = In(x² + y²) and z = sin-1 *(÷), evaluat-

A: Differentiate the following

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

A:

Q: = * sin (t – 1) dt Find the derivative of the function g( x O sin (3x – 1) sin (2) 3 sin (3x – 1)

A: We will use Newton leibniz formula to solve this question.

Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

A:

Q: 1. Centered-difference formula for the second derivative with one independent variable x y (x + h) –…

A: Claim: y''(x) = y(x+h)-2y(x)+y(x-h)h2-h212y(4)(ς) It is known that y = (x-∆x) =y(x) -∆xy'(x)…

Q: derivative of y = x^2 ln tan^2 x

A:

Q: First Derivative:  w=sec2x+tan2v

A:

Q: Find the derivative of the function. State the domain of the derivative. f(x) = [In(x)]6 f '(x) =…

A:

Q: DERIVATIVE OF A TRANS FORM 2t Lte sen6t

A: Use Laplace Transform table:   Ltkft=-1kdkdskLft

Q: Limit tant sec 2t 3t

A:

Q: integral tan3(x)sex(x)dx

A:

Q: SIn (-x) In x if x 0

A:

Q: (Integral sign) tan^2 x cos^3 x dx

A: The given integral is

Q: x' sin (tanx*) -1 Integrate 1+x

A: Introduction :

Q: 1+tanx 2. If f(x) find f'(x) 1-tanx

A:

Q: Product Rule for the second derivative Assuming the firstand second derivatives of f and g exist at…

A: Given: The first and second derivatives of f and g exist at x

Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…

A:

Q: derivative af. inccosu) where n-782 Find

A: We have to find the derivative

Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

A:

Q: derivative of 4sin^3(x^7)

A: We have to find the derivative of 4sin3(x7) Let's say y = 4sin3(x7) Let's say x7 = u Hence, y =…

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

A:

Q: denivative 12t'de tanx

A:

Q: 1-tanx If f(x) = then find f' -). %3D 1+tanx

A: We can make it easier for you

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: cos2x – sin2x cos2x For What is F(x)? - dx=÷F( 3 + C• cosx – sinx O (cscx – secx) 3 2 sinx - -cos'x…

A: Solved below

Q: sin 2x+sin x dx Vsin2x -cos x v.

A:

Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request I am solving question 1 from the given picture. Given is…

Q: sin (x) Find the derivative of h(x) %3D 2x + 5 h (x) =

A:

Q: ctivity 1. Find the 2nd derivative of the even-numbered functions ar dd-numbered ones: 1. f(x) = (x…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Implicit Differentiation y²=x' Find dy if dX 1. + Sinxy Find dy 2x-3y=8 2 2- if dX2 3- Use implicit…

A: As per our company guidelines we are supposed to answer only first 3 sub parts kindly post other…

Q: sin (x) Find the derivative of h(x) = 4x + 3 W'(x) = %3D

A: Given: hx=sin3x4x+3 Use the quotient rule to differentiate the given function: ddxuv=vdudx-udvdxv2…

Q: uestion-9 a) Using 2nd derivative test, find the absolute extremes of f(x) = x – Vx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1-tanx 1. If f(x) = then find f'(-). 1+tanx

A:

Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

A:

Q: (3 sin x - sin 3x) dx

A: To integrate: ∫(3sin(x)-sin(3x))dx Solution: We know,∫sin(ax)dx=-1acos(ax)+C Using above standard…

Q: ∫sec^2 x / tan x +1  dx

A:

Q: x+13 dx х+4

A: 1) Evaluate: ∫3x2+14x+13x+4dx

Q: QI Find f'(x) for 1+ sec-(x) S(x) 1- csc-1(x)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.