Graph the equation f(x) = ln x and g(x) = ln(x - 2) + 1 in a rectangular coordinate system. If two functions are indicated, graph both in the samesystem.

Q: Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)

A: To determine the x- intercept of the graph of the function.

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the first and second derivative if y = x3+3x2+7

A:

Q: Find the second derivative of the function.

A:

Q: Find the second derivative of the function. f(x) = 4x3/2

A:

Q: Find the derivative of the function.

A: Given  g(x)=3x2-22x+3-2 g(x)=2x+33x2-22 g(x)=2x+323x2-22 We use the following and differentiate g(x)…

Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

Q: solve the first and second derivative of Y=x2e-x

A:

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Find the derivatives of the functions y = log5 (3x - 7)

A: Given: Function y = log5(3x - 7) To Find: Derivative of the given function  Concept Used: Chain Rule…

Q: If ƒ(x) = (7x − 2)² · (8x² + 8)ª, find ƒ'(x) using logarithmic differentiation

A:

Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: Graph f(x) = (1/2)x and g(x) = log1/2 x in the same rectangular coordinate system.

A: We have in RED and  in BLUE.

Q: Find the second derivative of each function, and then find ƒ″(1) and ƒ″(−3) ƒ(x) = 3x4 - 5x2 - 11x

A: The given function is fx=3x4-5x2-11x

Q: Find the second derivative of the function.

A: Given function is  fx=4x32 The derivative used here is  dxndx=nxn-1 The derivative of the first…

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Find the derivative of the function. y = -2e - 5x²

A:

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find f′(x). f(x)=5x4 ln x

A:

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

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

A: Find the derivative of fx=log35x2+1

Q: Find the second derivative  X3 + 4x2

A:

Q: Find the first and second derivative of 2x3+x2+6x

A:

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

A:

Q: Find the first and second derivative  x3+x2+5x

A:

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3. =メー1 x+1 デー

A:

Q: Find the derivative of each function.y = log2 13x2 - 4x2

A: Given function, y=log2(13x2-4x2)

Q: Find the second derivative of the function. f(x)= [3x3+7]7

A:

Q: Find the first and second derivative of the given 2x2+9x+8

A:

Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

Q: Find the second derivative of h(x)=x2+3x-3 Simplify your answer, if possible.

A: Our objective is to find the second derivative of h(x)=x2+3x-3.

Q: Find a formula for the derivative of the function 2x2 – 3

A:

Q: Find the second derivative x4/7 -( solve using rationalising)

A: From the given problem:   fx=x47   As we know the second derivative is represented by:…

Q: f (x) = (2x – 3x³ – 4x*)°

A:

Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

A: General rule of differentiation is  ddxxn=nxn-1

Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

Q: solve the first and second derivative of Y= (x2-4)2 / x-4

A: Given function Use quotient rule to find the first derivative

Q: Find the equation of the parabola osculating with the exponential function f(x)=ex at the point…

A:

Q: Find the sixth derivative of y=-x^4-1/2x^8-5x^9

A: Consider the given equation y=-x4-12x8-5x9 To find the sixth derivative of the given equation, use…

Q: Find the first and second derivatives of the function. g(x) = -4x3 + 11x2 + 6x - 51 g'(x) g"(x)

A:

Q: -y = (x2 +5x)3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Given function: y = x* – 4x³ + 2

A:

Q: Graph f(x) = (1/4)x and g(x) = log1/4x in the same rectangular coordinate system.

A: Given f(x) = (1/4)x and g(x) = log1/4x

Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

A:

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…