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Derivative Rules
Derivative Rules
22
Mathematics
11th Grade
09/29/2021

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Cards

Term
d/dx (sin(x))
Definition
cos(x)
Term
d/dx (c*x)
Definition
c
Term
d/dx (cos(x))
Definition
-sin(x)
Term
d/dx (e^x)
Definition
e^x
Term
d/dx (x^n)
Definition
n*x^(n-1)
Term
d/dx (a^x)
Definition
ln(a)*a^x
Term
d/dx [image]
Definition
1/(ln(3)*x)
Term
d/dx (1/x)
Definition
-x^(-2)
Term
d/dx (x^3 + 2x^2 - 6x)
Definition
3x^2 + 4x - 6
Term
d/dx (x^(-2/3))
Definition
(-2/3) * x^(-5/3)
Term
d/dx (tan(x))
Definition
sec^2(x)
Term
d/dx (sec(x))
Definition
sec(x) * tan(x)
Term
d/dx (f(x) * g(x))
Definition
g(x) * f'(x) + f(x) * g'(x)
Term
d/dx (f(x)/g(x))
Definition
[g(x) * f'(x) - f(x) * g'(x)]/[g(x)]^2
Term
d/dx (cot(x))
Definition
-csc^2(x)
Term
d/dx (csc(x))
Definition
- csc(x) * cot(x)
Term
d/dx (1/x)
Definition
-1/x^2
Term
d/dx (sqrt(x))
Definition
1/2 * x^-1/2
Term
d/dx (sin^-1(x))
Definition
1/sqrt(1-x^2)
Term
d/dx (tan^-1(x))
Definition
1/(1+x^2)
Term
d/dx (f^-1(x))
Definition
1/f'(f^-1(x))
Term
d/dx (f(g(x)))
Definition
f'(g(x))*g'(x)
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