3 years ago

Y=12x=25 help please

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Answer:

Simplifying

y = 12x + 25

Reorder the terms:

y = 25 + 12x

Solving

y = 25 + 12x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 25 + 12x

Step-by-step explanation:

I tried

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What is the derivative of ln e^x / e^x -1

il63 [147K]

I assume you mean

$\dfrac{\mathrm d}{\mathrm dx}\ln\dfrac{e^x}{e^x-1}$

The chain rule says this is equivalent to

$\dfrac{\dfrac{\mathrm d}{\mathrm dx}\dfrac{e^x}{e^x-1}}{\dfrac{e^x}{e^x-1}}$

The numerator can be worked out via the quotient rule:

$\dfrac{\mathrm d}{\mathrm dx}\dfrac{e^x}{e^x-1}=\dfrac{e^x(e^x-1)-e^x\times e^x}{(e^x-1)^2}=-\dfrac{e^x}{(e^x-1)^2}$

We're left with

$\dfrac{-\dfrac{e^x}{(e^x-1)^2}}{\dfrac{e^x}{e^x-1}}=-\dfrac1{e^x-1}=\dfrac1{1-e^x}$