5089947
Description
Flashcards by Meg McAteer, updated more than 1 year ago
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Created by Meg McAteer
almost 10 years ago
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| Question | Answer |
| How do you differentiate? | Multiply by the power, then decrease the power by one. |
| How 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. |
| What notation or phrases can we also use to represent differentiation? | |
| How 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. |
| How 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. |
| When is a function increasing? | |
| When is a function decreasing? | |
| When is a function stationary? | |
| How do you find the stationary points of a function? | |
| How do you find where a function is increasing or decreasing? | Differentiate, then use a nature table (or solve the inequality). |
| How do you show that a function is ALWAYS increasing/decreasing? | |
| How do you find the solution to an optimisation problem? | Investigate stationary points (and end-points if necessary). |
| What do you get if you differentiate distance? | Speed |
| What do you get if you differentiate speed? | Acceleration |
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