Find the domain of function ƒ(x) = ln(x2 - 9)

Q: Find the derivative of the function. x-5 y = In x +5 %D

A: Differentiate wrt x

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the derivative of the algebraic function.

A:

Q: Find the derivative of the algebraic function H)x) = (x6 - 5)(x3 + 3).

A: Given that : H(x) = (x6 -5)(x3 +3). We find derivative of this algebraic function. We know that…

Q: Find the derivative of the algebraic function.

A:

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

A:

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

A:

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the inflection points of the function?

A: To find inflection points of the function we need second derivative of the function.Use product rule…

Q: The derivative of the function f(x) =x ln x is: a. f'(x) = In x +1 b. f'(x) = ln x +. c. f"(x)= In x…

A:

Q: Find the derivative of the function. h(x)=7/x - 2/x^3 =1/x^4 h'(x)=

A: Given function h(x)=7x-2x3+1x4

Q: Find the derivative of the function g(x)=(5x^2−3x+1)e^x g'(x)=___

A:

Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

Q: If f(x)=3sin(x)+4x^x, find f'(2). Using logarithmic differentiation.

A:

Q: By using logarithmic differentiation, find f'(1) for…

A: apply log both side

Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: Find the derivative of the function f(x) = 3x2- 13x 25 by definition of derivatives f(x + h) - f(x)…

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Find f′(x). f(x)=5x4 ln x

A:

Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

A:

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

A:

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: Find the derivative of the function: f(x)=ln x^2(x-3)^3÷(x+1)^4

A: To determine the derivative of given function.

Q: Find the second derivative of the function. g(x) = 9/x + e6× In(x) g"(x) = %3D

A:

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

A:

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

A:

Q: Find the derivative of the function f(x) = 4x2 – 13x – 30 by definition of derivatives f(x + h) –…

A: We have to find the derivative of the given function: fx=4x2-13x-30 by the definition of…

Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: Find the inflection points of the function f(x) = x 2 ln x

A:

Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

A:

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

A:

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

A:

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: Find the derivative of the function. f(x) = (x² + 8) In(x) f'(x) =

A: In this question we need to find a derivative of the given function

Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: the derivative of the function g(x) In(lx2 +21)

A: We have to find the derivative of g(x)=ln(|x2+2|)

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

A:

Q: Find derivative of q=(X^2-x+1)/x+1

A:

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

A:

Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

A:

Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x)…

A:

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.