163 results for "differentiate".

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• Differentiation - Quotient Rule

Use the quotient rule to differentiate various functions.

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• Differentiation - Product Rule

Use the product rule to differentiate various functions.

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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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• 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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• 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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• 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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• 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 $f^{\prime}(x)= (a + b x)^{m-1} e ^ {n x}g(x)$. Non-calculator. Advice is given.

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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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• 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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• 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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