# Recent questions tagged differentiation

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$$\int f(x) d x$$.
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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 $$f^{\prime}(x)$$.
67
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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 ... 376 views 1 answers Memorizing all the rules can be challenging. Are there any strategies or tips to remember the differentiation rules in calculus? 476 views 1 answers Besides the basic rules, are there any other rules or techniques used in differentiating functions in calculus? 322 views 1 answers How does the chain rule work in differentiating composite functions? 538 views 1 answers How can we use the quotient rule to differentiate functions? 531 views 1 answers Can you explain how to use the product rule to differentiate functions? 632 views 1 answers How does the power rule help us differentiate functions? 370 views 1 answers Explain the basic rules for differentiating functions in calculus. 284 views 1 answers \( \frac{d f}{d t}=\lim _{h \rightarrow 0} \frac{f(t+h)-f(t)}{h}$$
557
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What is the power rule for differentiation?
652
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What is Implicit differentiation?
691
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Explain what the chain rule and product rules in calculus are.
325
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What is a Maclaurin series?
585
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What is a Taylor series?
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What is a limit of a function?
210
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What is the indefinite integral of $x^3$?
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What is the Taylor series expansion of $e^x$ around $x = 0$?
407
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What is the derivative of the function $y = x^3$?
377
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State the power rule of differentiation with integer exponents
276
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State the quotient rule of differentiation
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Prove the product rule of differentiationLet $$f$$ and $$g$$ be differentiable functions on an open interval $$I$$. Then $$f g$$ is a differentiable function on I, and\[\...
366
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What does the product rule of differentiation state?
172
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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.
311
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What is a derivative function?
395
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What is the definition of a derivative of a function at a point?
349
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State the product rule in probability
335
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State the complementary rule of probability mathematically
285
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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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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...
277
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If $$\tan ^{-1} x+\tan ^{-1} y=\frac{\pi}{4}$$, then compute $$x y+x+y$$.
285
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Evaluate $$\int 3 \cos x d x$$
253
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Integrate $$cos(x)^3$$i.e.$$\int \cos ^{3} x d x$$
321
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State the rule of total probability
313
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State the special product rule of probability?
230
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What is the derivative of $$2 x^{2}-5 x-3$$?
245
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State the basic rules of differentiation
250
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Calculate$$\int\left(6 x^{6}+4 x^{\frac{2}{3}}+8\right) d x$$
266
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Calculate $$\int x^{7} d x$$
435
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What is the derivative of $$2^x$$?