Calculus 1: Important Formulas and Derivatives to Remember!

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14 Terms

1
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The formula for linear approximation

L(x)=f(a)+f’(a)(x-a)

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The formula for quadratic approximation

Q(x)=f(a)+f’(a)(x-a)+(f’’(a)/2)(x-a)2

<p>Q(x)=f(a)+f’(a)(x-a)+(f’’(a)/2)(x-a)<sup>2</sup></p>
3
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Derivative of arcsin(x)

1/√(1-x2)

<p>1/√(1-x<sup>2</sup>)</p>
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Derivative of arccos(x)

-1/√(1-x2)

<p>-1/√(1-x<sup>2</sup>)</p>
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Derivative of arctan(x)

1/(1-x2)

<p>1/(1-x<sup>2</sup>)</p>
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Derivative of arccot(x)

-1/(x2-1)

<p>-1/(x<sup>2</sup>-1)</p>
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Derivative of loga(x)

1/ln(a)x

<p>1/ln(a)x</p>
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Derivative of ax

ln(a)ax

<p>ln(a)a<sup>x</sup></p>
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