Recent questions tagged differentiation

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Find the derivative of the function \( f(x) = x^3-4x+8\) from first principles
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If \( f(x)=2 \sqrt{x} \ln x \), find \( f^{\prime}(x) \).
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Differentiate \( f(x) \) from first principles if \( f(x)=-2 x^{2}+3 \).
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Determine \( f^{\prime}(x) \) from first principles if \( f(x)=-3 x^{2} \).Determine, using the rules of differentiation:\[\frac{d y}{d x} \text { if } y=\frac{\sqrt{x}}{...
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If \( f(x)=x^{3}+2 x^{2}-4 x+1 \), find \( f^{\prime}(x) \) (derivative).
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1 Determine \(f^{\prime}(x)\) from first principles if it is given \(f(x)=x^2-5\).2 Detcrmine \(\frac{d y}{d x}\) if:2.1 \(y=3 x^3+6 x^2+x-4\)2.2 \(y x-y=2 x^2-2 x \quad ...
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Memorizing all the rules can be challenging. Are there any strategies or tips to remember the differentiation rules in calculus?
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Besides the basic rules, are there any other rules or techniques used in differentiating functions in calculus?
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How does the chain rule work in differentiating composite functions?
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How can we use the quotient rule to differentiate functions?
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Can you explain how to use the product rule to differentiate functions?
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How does the power rule help us differentiate functions?
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Explain the basic rules for differentiating functions in calculus.
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\( \frac{d f}{d t}=\lim _{h \rightarrow 0} \frac{f(t+h)-f(t)}{h} \)
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What is the power rule for differentiation?
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What is Implicit differentiation?
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Explain what the chain rule and product rules in calculus are.
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What is a Maclaurin series?
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What is a Taylor series?
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What is a limit of a function?
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What is the indefinite integral of $x^3$?
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What is the Taylor series expansion of $e^x$ around $x = 0$?
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What is the derivative of the function $y = x^3$?
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State the power rule of differentiation with integer exponents
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State the quotient rule of differentiation
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Prove the product rule of differentiationLet \(f\) and \(g\) be differentiable functions on an open interval \(I\). Then \(f g\) is a differentiable function on I, and\[\...
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What does the product rule of differentiation state?
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How is differentiation used with respect to motion?
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\(T / F\) : The definition of the derivative of a function at a point involves taking a limit.
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What is a derivative function?
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What is the definition of a derivative of a function at a point?
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State the product rule in probability
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State the complementary rule of probability mathematically
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Sove for \(x\) in \(\sqrt{-2+\sqrt{-3+\sqrt{-4+\sqrt{-5+\sqrt{\frac{5477 x+7}{7}}}}}}=1\)
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What fraction is shaded?
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A piece of wire \(72 \mathrm{~cm}\) long is cut into two equal pieces and each is formed into a circle. What is the sum, in square centimeters, of the areas of these circ...
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If \(\tan ^{-1} x+\tan ^{-1} y=\frac{\pi}{4}\), then compute \(x y+x+y\).
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Evaluate \(\int 3 \cos x d x\)
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Integrate \(cos(x)^3\)i.e.\(\int \cos ^{3} x d x\)
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State the rule of total probability
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State the special product rule of probability?
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What is the derivative of \(2 x^{2}-5 x-3\)?
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State the basic rules of differentiation
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Calculate\(\int\left(6 x^{6}+4 x^{\frac{2}{3}}+8\right) d x\)
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Calculate \(\int x^{7} d x\)
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What is the derivative of tanh(x)?
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What is the derivative of \(2^x\)?
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What does the Leibniz product rule state?
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What does the Power Rule for differentiation state?
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