Pre Calc 2 Formulas
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25 Terms
What is the derivative of x^n?
The derivative of x^n is n*x^(n-1).
What is the derivative of sin(x)?
The derivative of sin(x) is cos(x).
What is the antiderivative of x^n (n ≠ -1)?
The antiderivative of x^n is (x^(n+1))/(n+1) + C.
What is the integral of sin(x)?
The integral of sin(x) is -cos(x) + C.
What is the power rule for derivatives?
ddx[x^n] = n*x^(n-1).
What is the outcome of applying L'Hospital's Rule for the limit lim_{x→a} f(x)/g(x) when it is in the form 0/0 or ∞/∞?
lim{x→a} f(x)/g(x) = lim{x→a} f'(x)/g'(x).
What is the fundamental Pythagorean identity in trigonometry?
sin^2(x) + cos^2(x) = 1.
What is the integral of e^x?
The integral of e^x is e^x + C.
What is the logarithmic rule for the product?
ln(ab) = ln(a) + ln(b).
What is the double angle formula for sin(2x)?
sin(2x) = 2sin(x)cos(x).
What is the derivative of x^n?
The derivative of x^n is n*x^(n-1).
What is the derivative of sin(x)?
The derivative of sin(x) is cos(x).
What is the antiderivative of x^n (n
≠ -1)?
The antiderivative of x^n is (x^(n+1))/(n+1) + C.
What is the integral of sin(x)?
The integral of sin(x) is -cos(x) + C.
What is the power rule for derivatives?
ddx[x^n] = n*x^(n-1).
What is the outcome of applying L'Hospital's Rule for the limit lim_{x→a} f(x)/g(x) when it is in the form 0/0 or ∞/∞?
lim_{x→a} f(x)/g(x) = lim_{x→a} f'(x)/g'(x).
What is the fundamental Pythagorean identity in trigonometry?
sin^2(x) + cos^2(x) = 1.
What is the integral of e^x?
The integral of e^x is e^x + C.
What is the logarithmic rule for the product?
ln(ab) = ln(a) + ln(b).
What is the double angle formula for sin(2x)?
sin(2x) = 2sin(x)cos(x).
What is the derivative of cos(x)?
The derivative of cos(x) is -sin(x).
What is the derivative of ln(x)?
The derivative of ln(x) is 1/x for x > 0.
What is the product rule for derivatives?
If h(x) = f(x)g(x), then h'(x) = f'(x)g(x) + f(x)g'(x).
What is the integral of 1/x?
The integral of 1/x is ln|x| + C.
What is the logarithmic rule for the quotient?
ln(a/b) = ln(a) - ln(b).