# How do you find the instantaneous rate of change for #h(t)=-5t^2+20t+1# for t=2?

By signing up, you agree to our Terms of Service and Privacy Policy

No change.

The derivative of a function represents its instantaneous rate of change.

By signing up, you agree to our Terms of Service and Privacy Policy

To find the instantaneous rate of change for the function h(t) = -5t^2 + 20t + 1 at t = 2, you need to find the derivative of the function with respect to t. Then, evaluate the derivative at t = 2.

First, find the derivative of h(t) with respect to t: h'(t) = d/dt(-5t^2 + 20t + 1) = -10t + 20

Next, evaluate the derivative at t = 2: h'(2) = -10(2) + 20 = -20 + 20 = 0

Therefore, the instantaneous rate of change for h(t) = -5t^2 + 20t + 1 at t = 2 is 0.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the instantaneous velocity of an object moving in accordance to # f(t)= (t^3-t^2-3,e^(2t)) # at # t=6 #?
- What is the equation of the tangent line of #f(x) = sec^3x^2# at #x=pi/8#?
- What is the equation of the tangent line of #f(x) =(x+5)/(x-1)^2# at #x=-5#?
- How do you use the definition of a derivative to find the derivative of #f(x)=x^2 - 1#, at c=2?
- How do you find the instantaneous rate of change of the function #x^3 +2x^2 + x# when x=1?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7