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Derivatives
Differentiation rules and graph interpretation. A starter deck to adapt to your course and level.
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6/40- 01
What is the derivative of xⁿ?
- 02
What is the derivative of sin(x)?
- 03
What is the derivative of eˣ?
- 04
What does f′(a) mean on the graph of f?
- 05
If f′(x) > 0 on an interval, how does f vary?
- 06
What is the chain rule for f(g(x))?
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01What is the derivative of xⁿ?
n·xⁿ⁻¹ wherever the function is differentiable.
02What is the derivative of sin(x)?
cos(x).
03What is the derivative of eˣ?
eˣ.
04What does f′(a) mean on the graph of f?
The slope of the tangent at x = a.
05If f′(x) > 0 on an interval, how does f vary?
It is strictly increasing on that interval.
06What is the chain rule for f(g(x))?
f′(g(x)) · g′(x).