Calculus Concepts

Card 0 of 10

Question

What is the derivative of $x^2$?

Answer

$2x$

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Question

What is the power rule for derivatives?

Answer

$\frac{d}{dx}[x^n] = nx^{n-1}$

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Question

What is the fundamental theorem of calculus?

Answer

Links differentiation and integration as inverse operations

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Question

What is the derivative of $\sin(x)$?

Answer

$\cos(x)$

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Question

What is $\int x , dx$?

Answer

$\frac{x^2}{2} + C$

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Question

What is the derivative of $\cos(x)$?

Answer

$-\sin(x)$

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Question

What is the product rule?

Answer

$\frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)$

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Question

What is $\int \sin(x) , dx$?

Answer

$-\cos(x) + C$

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Question

What is the chain rule?

Answer

$\frac{d}{dx}[f(g(x))] = f'(g(x)) \times g'(x)$

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Question

What is the derivative of $e^x$?

Answer

$e^x$

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