# What is the difference between derivatives and integration?

There is a nice history about this topic

Isaac Newton and G Leibnitz discovered these concepts almost at the same time (12 years of diference in XVII century) Derivative is looking for instant variation of a function. and means the slope of a tangent line of the graph of the function in every point

Integral is looking for the area under a graph

Barrow's rule proves that this pair of problems are inverse one of each other

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

They are opposites of each other...

Let's try another example if that wasn't clear enough.

I hope you can figure it out from here!

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 equations for the lines that are tangent and normal to the graph of #y=secx# at #x=pi/4#?
- What is the equation of the tangent line of #f(x) = (e^(x)-1)/(x^2-1)# at #x=2#?
- What is the value of #x# where the tangent to #y -1 = 3^x# has a slope of #5#?
- How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3#?
- What is the equation of the line that is normal to #f(x)=-e^x # at # x=-2 #?

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