# What is the instantaneous rate of change of #f(x) = e^x# when #x = 0#?

The derivative is the rate of change that occurs instantly.

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

The instantaneous rate of change of ( f(x) = e^x ) when ( x = 0 ) is ( 1 ).

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.

- How do you find the slope of the tangent line for #f(x) = 3x^2# at (1,3)?
- What does it mean about a point if the tangent line has a slope of 0?
- What is the slope of the line normal to the tangent line of #f(x) = 2x-xsqrt(x-1) # at # x= 2 #?
- How do you find the equation of the line tangent to #y=sqrtx# at (1,1)?
- What is the equation of the line that is normal to #f(x)=2x^3-3x^2+5# at # x=1 #?

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