12 differentiation Flashcards
How to you define the gradient of a curve at a given point?
The gradient of the tangent to the curve at that given point.
What is an increasing function?
When the gradient of a line is positive.
What is the gradient at a turning point?
0
What is it called when their is neither a min or max point on a curve, but the gradient is still 0 at a point?
Stationary point of inflection.
What does lim h->0 mean?
h is getting smaller to a point where it is negligible.
What is the algebraic equation for a tangent.
F(x+h) - f(x) / h
See OneNote differentiation page for working.
What is x to the power of -2 equal to?
1/x(squared)
How do you differentiate something?
take the power of ‘x’, multiply the coefficient of ‘x’ by it, then reduce the power by 1.
What is f’(x)?
The differentiated version of f(x)
