Which table shows exponential decay?

1 answer:

7 0

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

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OMG last one please help

vichka [17]

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

3 0

3 years ago

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$