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Section 1

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Power Rule

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Calculus Math

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6 years ago

Date created

Mar 1, 2020

Cards (16)

Section 1

(16 cards)

Power Rule

Front

x^n= nX^(n-1)

Back

Fundamental Theorem of Calculus

Front

integral and derivatives are opposite of each other.

Back

derivative

Front

how sensitive a function is responding to a small change in it is input

Back

Derivative of Secant x

Front

sec x tanx

Back

Chain Rule f(g(x)) e.g y= (3x+1)^7 AKA OUTSIDE INSIDE RULE

Front

(derivative of outside function, leaving inside alone) X (derivative of inside function)

Back

Implicit Differentiation （substitute y for (dy/dx)

Front

basically a special kind of chain rule differentiate both sides with respect to x, when you differentiate a y term, multiply by dy/dx 2) solve for dy/dx

Back

derivative of cosine is

Front

negative sine

Back

x-1/-1 +c

Front

-1/x + c

Back

quotient rule of derivatives

Front

(bottom times derivative of the top minus the top times the derivative of the bottom ) all over the bottom squared (if bottom is not zero)

Back

dy/dx is the same as

Front

y'

Back

secant is

Front

one over cosine

Back

calculus

Front

the study of how things change

Back

integration

Front

plus C in the end

Back

quotient rule short cut

Front

lo dee hi - hi dee lo over Lo x Lo

Back

Product rule Derivatives

Front

first factor as is X (derivative of second factor) + second factor as is X (derivative of first factor)

Back

derivative of sine is

Front

cosine

Back