General Strategies

Question 1

How do we find the gradient of the graph (How do we find the slope)?

Answer 1

Find Dy/Dx in the analyse graph section and plug in the number given.

Question 2

What if we need to find a derivative but the original function has a fraction?

Answer 2

We need to make it that the x is no longer on the bottom of the fraction.

Question 3

What is the gradient of the normal?

Answer 3

The normal is perpendicular to the tangent meaning we have to find the negative reciprocal of the tangent.

Question 4

What are derivatives? F(x)

Answer 4

Derivatives give you the slope of the original function. F’(x).

Question 5

What are straight numbers?

Answer 5

Straight numbers are numbers with no variable, if the numbers are in an original function of F(x) then we get rid of them in F’(x) when we are looking for the derivative.

Question 6

How do we find the derivative?

Answer 6

Bring down the exponent and multiply it in front, make new exponent smaller by one (N-1).

Question 7

What will the graph look like if the derivative is 0?

Answer 7

The graph of the function will be flat

Question 8

If f(x) = 6 (constant) what will the answer be in derivative form?

Answer 8

The answer will be 0 so this means that the rate of change of F(x) is 0 for all values of x.