Step 3 of 5 To see if f(x) is differentiable on (0, 10), find f'(x). This can be done by either using the product rule or first writing f(x) = (10 - x)Vx = 10x/2 - x3/2 and then using the power rule. %3D Find f'(x) in factored form. F'(x) = x-1/2( Because of the negative exponent, the only x-value for which f'(x) does not exist is x = Since this value of x-Select- v in (0, 10), f(x) Select--- v differentiable on (o, 10). Submit Skip (you cannot come back)

Q: Differentiate f(x)=1/x  - 6sqrt(x)

A: See the steps below and work out the steps as shown and the explanation is also shown below inside…

Q: find the inverse of V=f(t)=100(1-t/40)^2 then find f^-1(15)

A: Solve as general Replace t to v Solve for v V is inverse of f

Q: f(x) = 6x3 - 9x + 4 +4

A:

Q: Suppose the function f is updated from f(x)=x^3 to f(x)=−3.5x^3. How does changing the coefficient…

A: There are two big changes you introduced to the function when you change the coefficient from 1 to…

Q: Let f(x)=2x^2−2 and let g(x)=5x+1. Find the given value. f[g(−2)]

A: Given: f(x)= 2x^2-2    g(x)= 5x+1

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: Let f(x)= (7x-5)^4                (5x+2)^5 find f' (x)  Please answer ASAP and write neatly thank…

A:

Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: If f(x) = 4+ 2x – 32, find f'( – 2). Preview

A:

Q: f(x) = 5x^3/sin(2x-9) what is f(18)?

A: We have to find the function value

Q: f(x)=sqrt(x+1) find f(t^2-1)

A: We have to find the function

Q: Use the product rule to find the derivative of (– 2x" – 4x“) (7e" + 9) Use e^x for e. You do not…

A:

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: What is r′(x) if r(x)=70x^5/2^x?

A: rx=70x52xTo find r′(x)

Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

A:

Q: write your answers (1–2 sentences) on this questions :  Q1/ Describe a general procedure to invert…

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: