AP Calc AB Must-Know Derivatives (+Rules)
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17 Terms
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Power Rule
f’(x) = n*x^n-1
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Product Rule
h’(x) = f’(x)*g(x) + g’(x)*f(x)
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Quotient Rule
h(x) = f’(x)*g(x) - g’(x)*f(x) / (g(x))²
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f(x)=c
f’(x)=?
0
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Product of three or more functions
p’(x)= f’(x)*g(x)*h(x) + f(x)*g’(x)*h(x) + f(x)*g(x)*h’(x)
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f(x) = √x
f’(x) = ?
1 / 2√x
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f(x) = ax
f’(x) = ?
a
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f(x) = ax^n
f’(x) = ?
a*n*x^n-1
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f(x)= g(x) ± h(x)
f’(x) = ?
g’(x) ± h’(x)
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f(x) = sin(x)
f’(x) = ?
cos(x)
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f(x) = cos(x)
f’(x) = ?
-sin(x)
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f(x) = e^x
f’(x) = ?
e^x
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f(x) = ln
f’(x) = ?
1/x
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f(x) = tan(x)
f’(x) = ?
sec(x)*tan(x)
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f(x) = csc(x)
f’(x) = ?
-csc(x)*cot(x)
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f(x) = cot(x)
f’(x) = ?
-csc²(x)
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Chain Rule
Determine an ‘inside function’ using the variable u
Redefine the original function in terms of u
find the derivatives of each new function
find the original derivative