4 years ago

What is the answer to this in math 9.5(-7.8)

Mathematics

2 answers:

Minchanka [31]4 years ago

7 0

Answer:

-74.1, is the answer.

Step-by-step explanation:

Anni [7]4 years ago

3 0

Answer: -74.1

Step-by-step explanation:

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Find dyldx.<br> 3. y=2x sin(3x)

vredina [299]

Answer:

$\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}$

Step-by-step explanation:

$\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)$