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Elementary derivative problems
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Compute the derivative of $g(z) = 7 z^{2} + 8 z + 3$.
Differentiate the function $\displaystyle u(t) = \frac{10 t + 8}{- 8 t + 9}$.
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The quotient rule for differentiation
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Calculate the derivative of $w(s) = (- 2 s + 3) \ln (s)$.
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Hint
You'll need to use the product rule
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The idea of the product rule
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Differentiate each of the following functions:
$ g(x) = ( 7 x^{2} + 5 x + 8 ) e^x $
$ h(x) = \ln ( x^{3} - 9 x ) $
$f(x) = ( 10 x+ 5 )^4 $
Let $p(x) = k x e^{ c x }$, where $k$ and $c$ are parameters (i.e., constant numbers). What is $p'(x)$? What is $p'(\eta)$?
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The idea of the product rule
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Math 201, Spring 19
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Review questions: Derivative intuition practice, matching