# Study sets matching "calculus derivatives"

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f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

Intermediate Value Theorem

Rolle's Theorem

Mean Value Theorem (for derivatives)

1st Fundamental Theorem of Calculus

If f is continuous on [a,b] and k is between f(a) and f(b), th…

If f is continuous on [a,b] and f is differentiable on (a,b) a…

If f is continuous on [a,b] and f is differentiable on (a,b),…

If f is continuous on [a,b] and F is an antiderivative of f on…

Intermediate Value Theorem

If f is continuous on [a,b] and k is between f(a) and f(b), th…

Rolle's Theorem

If f is continuous on [a,b] and f is differentiable on (a,b) a…

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

Critical Point

Point of inflection

Function is increasing

Function is decreasing

1st derivative equals zero

2nd derivative equals zero

1st derivative greater than zero (positive)

1st derivative less than zero (negative)

Critical Point

1st derivative equals zero

Point of inflection

2nd derivative equals zero

product rule

quotient rule

chain rule

inverse derivative rule

first times derivative of second plus second times derivative…

lo di hi minus hi di lo over lo squared

derivative of the douter times derivative of the dinner

reciprocal of the derivative of the function

product rule

first times derivative of second plus second times derivative…

quotient rule

lo di hi minus hi di lo over lo squared