191 results for "differentiate".
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Question in Content created by Newcastle University
Differentiate $f(x) = x^m(a x+b)^n$.
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Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
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Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
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Question in Content created by Newcastle University
Differentiate $ (a+bx) ^ {m} \sin(nx)$
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Question in Content created by Newcastle University
Differentiate $f(x)=x^{m}\sin(ax+b) e^{nx}$.
The answer is of the form:
$\displaystyle \frac{df}{dx}= x^{m-1}e^{nx}g(x)$ for a function $g(x)$.Find $g(x)$.
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Question in Content created by Newcastle University
Differentiate the function $(a + b x)^m e ^ {n x}$ using the product rule.
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Question in Content created by Newcastle University
Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1} e ^ {n x}g(x)$.
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Question in Content created by Newcastle University
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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Exam (9 questions) in Content created by Newcastle University
Use the quotient rule to differentiate various functions.
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Question in Content created by Newcastle University
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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Exam (8 questions) in Content created by Newcastle University
Use the chain rule to differentiate various functions.
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Exam (11 questions) in Content created by Newcastle University
Use the product rule to differentiate various functions.
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Question in Content created by Newcastle University
Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$
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Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
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Question in Calculus
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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Exam (8 questions) in Kevin's workspace
Use the quotient rule to differentiate various functions.
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Exam (11 questions) in Kevin's workspace
Use the product rule to differentiate various functions.
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Question in Calculus Math 5A
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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Question in Calculus Math 5A
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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Question in Calculus Math 5A
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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Question in Calculus Math 5A
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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Question in Calculus Math 5A
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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Question in Calculus Math 5A
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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Question in College Algebra for STEM
Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.
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Question in Calculus Math 5A
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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Question in MTH101 Assessment
Differentiate
\[ \sqrt{a x^m+b})\]
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Question in MTH101 Assessment
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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Exam (8 questions) in Maria's workspace
Use the quotient rule to differentiate various functions.
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Exam (9 questions) in Maria's workspace
Use the quotient rule to differentiate various functions.
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Exam (11 questions) in Maria's workspace
Use the product rule to differentiate various functions.