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Differentiation: quotient rule
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$ .
Quotient rule. (Video)
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .

Contains a video solving a similar quotient rule example. Although does not explicitly find $g(x)$ as asked in the question, but this is obvious.
Leicester: Differentiation 4
Draft
Question in Bill's workspace by Bill Foster

Examples on differentiation using the quotient rule and chain rule.
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$ . Find $g(x)$ .
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$ . Find $g(x)$ .
Differentiation: Quotient rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle \frac{ax+b}{cx+d}$ .
Differentiation: Quotient rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax+b}{cx^2+d}$ is of the form $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .
Quotient rule - differentiate exponential over exponential
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$ . Find $p$ .
Quotient rule - differentiate linear over quadratic
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$ . Find $g(x)$ .
Quotient rule - differentiate linear over square root
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$ . Find $g(x)$ .
Quotient rule - differentiate quadratic over quadratic
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .
Max and Min 6
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Question in Bill's workspace by Bill Foster

$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(x-c)^{a/b}}$ . Are there stationary points and local maxima, minima? Has $g$ a global max, global min?
Katie's copy of Max and Min 6
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Question in Katie's workspace by Katie Dexter

$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(x-c)^{a/b}}$ . Are there stationary points and local maxima, minima? Has $g$ a global max, global min?

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