f(x) = x4 + 5x2 − 1 is an even function. Give an example of an odd function.

Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

Q: Find f(-2) for f(x)=3x2^x

A: f(x) = 3x2^x we can also write this as f(x)=3x(2x)

Q: Find (f-1) (a). f(x) = 5x3 + 3x2 + 6x + 7, a = 7 (F-1)(a) =

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Q: The maximum value of f(x) is 1+4x+x2

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Is f(x)=x^2-2x even or odd ?

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Q: Find f(-3) for f(x) = x² – 3x + 3

A: Given f(x)=x2-3x+3 To find f(-3) we put x=-3 in the above function.

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

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Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: How is the graph of f (x) = x3 − 12x2 + 36x − 16 related to the derivative f'(x) = 3x2 − 24x + 36?

A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

Q: Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

A: Given function is defined in two intervals  So firstly we will discuss  for  x≤1 f(x)=5-2x2 we have…

Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

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Q: The function f1x2 = x2 is decreasing on the interval

A: fx=x2 Differentiating with respect to x, we get f'x=2x

Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

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Q: 2. Solve for f-1(x) when f(x) = v2x + 3. %3D

A: Write x in terms of y for calculating inverse of y.

Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

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Q: Find the absolute maximum and minimum values of f(x) = 2x³- 3x2 – 12x for 0 <x < 3.

A: First we find the critical points of f(x) and then local extremum points of f(x). Then comparing the…

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: Find the maximum value of the function f(x)=x3+3x2-9x attains in the interval [-4, 3].

A: Differentiate the given equation as, f'(x)=x3+3x2-9x=3x2+6x-9=3x2+2x-3=3x2+3x-x-3=3xx+3-1x+3=3x+3x-1…

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

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Q: Find (f-1)'(a). f(x) = 4x3 + 3x² + 5x + 2, a = 2 (f-1)'(a) =

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Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

Q: The maximum value of the function f(x)= x3-5x-4 occurs at

A: Given function fx=x3-5x-4

Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

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Q: Graph the step function over the interval -2< x< 2. f(x) = [x +3] %3D

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Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

A:

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: 19 f(x) = x* – 12x2 + x – 1 -

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: Find f- (x) for f (x) = 3+ 10x.

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Q: Find (f-1)'(a). f(x) = 4x3 + 4x² + 8x + 4, a = 4

A: Derivative of inverse of a function

Q: Find (f-1)'(a). f(x) = 3x3 + 3x2 + 4x + 2, a = 2 (f-1)'(a) =

A: The given function is; f(x)=3x3+3x2+4x+2  and a = 2 When x = 0, f(0) = 0 +0 +0 + 2 f(0) = 2 The…

Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

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Q: Find (f-1)(a). f(x) = 5x3 + 4x² + 6x + 6, a = 6 (F-1)'(a) =

A: We have to find out

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: Show that the function f (x) = x* + 3x + 1 has exactly one solution in the interval [-2, -1].

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Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.