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Calculus

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Kgatlhi:
please explain

1. the use of differentiation in proving if a function is increasing or decreasing

2. the use of the second derivative in "determining the nature of stationary points"

elemis:
I'll answer no. 2.

Once you differentiate the equation of a curve set the the differentiated equation equal to zero and solve for x.

The two or more values of x are the stationary points.

Differentiate the equation once more and input these values of x into the new derivative (the 2nd derivative as it is known)

If the answer you get is greater than zero it is a minimum point

If the answer you get is less than zero it is a maximum point

Deadly_king:

--- Quote from: Kgatlhi on October 08, 2010, 07:15:10 pm ---please explain

1. the use of differentiation in proving if a function is increasing or decreasing

2. the use of the second derivative in "determining the nature of stationary points"

--- End quote ---

Qu 1.

Differentiation results in the gradient of the function at each specific points.

So if gradient is positive ---> Increasing function

Negative gradient ----> Decreasing function

islu_jf:
Is there alot of people giving the exam?

islu_jf:
and i can't find the maths AS pp here.. plz help where can i find them?

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