Question

Find \frac{dy}{dx} in each of the following. Show all work. a) $y = -5\ln(6x^4 + 7)$ b) $y = 6\sqrt{x} - 4x^2 \ln x$ c) $y = 11e^{2x}$ d) $y = e^{x^3} \ln 5x^2$ e) $y = \frac{e^x - e^{-x}}{4}$ f) $y = \frac{e^{4x}}{e^{3x} - 7x^2}$

          Find \frac{dy}{dx} in each of the following. Show all work.
a) $y = -5\ln(6x^4 + 7)$
b) $y = 6\sqrt{x} - 4x^2 \ln x$
c) $y = 11e^{2x}$
d) $y = e^{x^3} \ln 5x^2$
e) $y = \frac{e^x - e^{-x}}{4}$
f) $y = \frac{e^{4x}}{e^{3x} - 7x^2}$

Find (dy)/(dx) in each of the following. Show all work.
a) y = -5ln(6x^4 + 7)
b) y = 6√(x) - 4x^2 ln x
c) y = 11e^2x
d) y = e^x^3ln 5x^2
e) y = (e^x - e^-x)/(4)
f) y = (e^4x)/(e^3x - 7x^2)

Added by Agust-N J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

11/01/2023

Step 1

Step 1: a) y=-5ln(6x²+7) Show more…

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Find $\frac{dy}{dx}$ in each of the following. Show all work. a) y=-5ln(6x²+7) b) y = 6√x-4x² ln x c) y = 11e2x d) y = ex In 5x2 e) y=e-e* 4 e4x f) y=3x-7x2