Calculus Derivatives: Power, Exponential, Logarithmic, and Rules
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10 Terms
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What is the derivative of a constant?
0
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What is the power rule for derivatives? x^n
n*x^(n-1).
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What is the derivative of an exponential function? b^x
b^x * ln(b)
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What is the special case for the derivative of e^x?
e^x
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What is the derivative of the logarithm function log_b(x)?
1/(x * ln(b))
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What is the special case for the derivative of ln(x)?
ln(x) is 1/x
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What is the sum/difference rule for derivatives? (f(x) ± g(x))
f'(x) ± g'(x).
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What is the multiple rule for derivatives? k*f(x)
k*f'(x), where k is any real number.
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Quotient Rule
g(x)f'(x)-f(x)g'(x)/g(x)^2
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Product Rule
f'(x)g(x)+f(x)g'(x)