Question

2. Differentiate the following expressions with respect to x in order to obtain $\frac{dy}{dx}$. Simplify as much as possible: (a) $y = (x^2 - 4 + \frac{2}{x})^3$ (b) $y = \ln(\sin(2x) + 4x)$ (c) $y = 6\exp(4x)$ (d) $y = 2\tan^2(3x + 4)$ (e) $y = \frac{2x + 1}{x - 2}$ (f) $y = (x - 2)^{3x}$

          2.
Differentiate the following expressions with respect to x in order to obtain $\frac{dy}{dx}$. Simplify as
much as possible:
(a)
$y = (x^2 - 4 + \frac{2}{x})^3$
(b)
$y = \ln(\sin(2x) + 4x)$
(c)
$y = 6\exp(4x)$
(d)
$y = 2\tan^2(3x + 4)$
(e)
$y = \frac{2x + 1}{x - 2}$
(f)
$y = (x - 2)^{3x}$

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2.
Differentiate the following expressions with respect to x in order to obtain (dy)/(dx). Simplify as
much as possible:
(a)
y = (x^2 - 4 + (2)/(x))^3
(b)
y = ln(sin(2x) + 4x)
(c)
y = 6(4x)
(d)
y = 2tan^2(3x + 4)
(e)
y = (2x + 1)/(x - 2)
(f)
y = (x - 2)^3x

Added by Kathryn M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kathleen Carty

04/27/2023

Step 1

Step 1: To find the maximum or minimum of a function, we need to find its derivative and set it equal to zero. Show more…

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Thanks for your feedback!

2. much as possible: (a) (b) y= ln(sin(2x)+ 4x) (c) y=6exp4x (d) y= 2 tan2(3x + 4) (e) 2x+1 y = x - 2 (f) y=(x-23x

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