Flashcards
Differentiation
Cards in this deck (14)
- 1How do you differentiate?Multiply by the power, then decrease the power by one.
- 2How do you prepare for differentiation?Change any roots into powers.
x must not be on the denominator of any fraction.
And pairs of brackets should be expanded. - 3What notation or phrases can we also use to represent differentiation?
- 4How do we find the gradient of the tangent to the curve at a given value of x?Differentiate, then sub x in to find the gradient.
- 5How do we find the equation of the tangent to a curve?Find the gradient (differentiate, then sub in x), then find the y coordinate by substituting x into the original expression, then use y - b = m(x - a). However, do not leave it in this form.
- 6When is a function increasing?
- 7When is a function decreasing?
- 8When is a function stationary?
- 9How do you find the stationary points of a function?
- 10How do you find where a function is increasing or decreasing?Differentiate, then use a nature table (or solve the inequality).
- 11How do you show that a function is ALWAYS increasing/decreasing?
- 12How do you find the solution to an optimisation problem?Investigate stationary points (and end-points if necessary).
- 13What do you get if you differentiate distance?Speed
- 14What do you get if you differentiate speed?Acceleration
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- Higher Maths Flashcards on Differentiation, created by Meg McAteer on 10/04/2016.
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- Meg McAteer
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