f(x) -ax e = X <0

Q: f(x) = 3x + 21, -3<x<0

A:

Q: f(x) = Ve

A:

Q: Find f-1(x) f(x)=(e-x)/x

A: Given, f(x)=(e-x)/x To find f-1(x)

Q: f(x)=1/x+7 f-1(x)=

A: Given function is

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

A:

Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

A:

Q: f(x) = x². Simplify f(x) = f(a) x-a , xa.

A:

Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

Q: r 4-5x 3. f(x)=- ; f'(-1)

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Q: x -> 0

A:

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: Differentiate the function. g(x) = 3x 3 (x - 3x3 + 15x-8) %3D g'(x) = %3D

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Q: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

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Q: If f(x) = 2x + ln x, find f-1(2).

A: The function is given as fx=2x+ln x......(1) The value of f(x)=2.......(2) Equate the equation (1)…

Q: 1 f (x) =

A:

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

A:

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: solve for x if CDy=4(x-E)

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: