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
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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!
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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.
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 #?
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