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CALCULUS

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Section 1

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Derivative of lnu [d/dx(lnu)]

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Calculus Math

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Date created

Mar 1, 2020

Cards (12)

Section 1

(12 cards)

Derivative of lnu [d/dx(lnu)]

Front

u' / u

Back

Two Special Trigonometric Limits

Front

limx-->0 (sinx) / x = 1 lim x-->0 (1-cosx) / x = 0

Back

Definition of the Derivative of a Function

Front

f ' (x) = lim Δx-->0 [f(x+Δ x) - f(x)] / Δx

Back

Derivative of ax^m

Front

amx^(m-1)

Back

Exponential Growth and Decay Model

Front

y = Ce^kt

Back

Derivative of k

Front

0

Back

Derivative of e^u [d/dx(e^u)]

Front

e^u u'

Back

Derivative of cosu [d/dx(cosu)]

Front

(-1sin u) u'

Back

Chain Rule derivative of g(f(x))

Front

derivative of the outer function * the derivative of the inner function

Back

Average Velocity or Average rate of Change

Front

[f(b) - f(a)] / (b - a)

Back

Properties of the Natural Logarithmic Function

Front

a. The domain is (0, ∝) and the range is (-∝,∝) b. ln(1) = 0 c. ln(ab) = ln a + ln b d. ln(a^n) = nln a e. ln(a/b) = ln a - ln b

Back

Derivative of sinu [d/dx(sinu)]

Front

(cos u) u'

Back