163 results for "differentiate".

Exam (8 questions) Draft
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Last modified 19/09/2019 11:41
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Exam (11 questions) Draft
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Last modified 19/09/2019 11:35
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Diff: Quotient rule  differentiate quotient of trig functions
Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.
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Last modified 11/09/2019 12:03
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Diff: Quotient rule  differentiate exponential over exponential
The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$. Find $p$.
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Last modified 11/09/2019 11:56
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Diff: Quotient rule  differentiate linear over square root
The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.
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Last modified 11/09/2019 11:55
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Diff: Quotient rule  differentiate quadratic over quadratic
The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.
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Last modified 11/09/2019 11:55
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Differentiation: product and chain rule, (a+bx)^m e^(nx), factorise answer
Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m1} e ^ {n x}g(x)$. Noncalculator. Advice is given.
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Last modified 11/07/2019 00:11
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Quotient rule  differentiate quotient of linear terms
Other method. Find $p,\;q$ such that $\displaystyle \frac{ax+b}{cx+d}= p+ \frac{q}{cx+d}$. Find the derivative of $\displaystyle \frac{ax+b}{cx+d}$.
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Last modified 10/07/2019 22:43
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Quotient rule  differentiate quotient of trig functions
Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.
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Last modified 10/07/2019 22:43
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Quotient rule  differentiate linear over quadratic
The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$. Find $g(x)$.
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Last modified 10/07/2019 22:34
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