All categories

2 years ago

PLZ HELP CORRECT ANSWER WILL GET BRAINLIEST

Mathematics

2 answers:

nydimaria [60]2 years ago

6 0

Answer:

f'(x) = 18x sin²(3x²)cos(3x²)

Step-by-step explanation:

Differentiate using the chain rule

Given

h(x) = f(g(x)) , then

h'(x) = f'(g(x)) × g'(x) ← Chain rule

Here

f(x) = sin³(3x²)

f'(x) = 3sin²(3x²)cos(3x²)

g(x) = 3x²

g'(x) = 6x

Thus

F'(x) = 3sin²(3x²)cos(3x²) × 6x

= 18x sin²(3x²)cos(3x²)

natita [175]2 years ago

3 0

Answer:

3sin(6x)

Step-by-step explanation:

f'(x)=3sin(6x)

You might be interested in

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:

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

6 0

3 years ago

Why is "You are a ray of sunshine" a metaphor? Start your answer with 'You are a ray of sunshine" is a metaphor because a simile

PSYCHO15rus [73]

Answer:

You are a ray of sunshine is a metaphor because a simile has to have like or as in it.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please help this is what this app is for helping students with school work/homework

inna [77]

We know it's for helping students so chill but I'll help, the number is 9 million and it's in the millions. You see all you have to do is classify the place value and say what the number is called.

6 0

2 years ago

(08.06 MC)

Aleks04 [339]

A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.

B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20

Add equations
x=5

Plug x in
5+y=20
y=15

Final answer: 5 cheese wafers, 15 chocolate wafers

3 0

2 years ago

Write the equation that describes the line with slope = 1 and y-intercept= 5/2 in slope-intercept form.

Nonamiya [84]

Answer: y=x+5/2

Step-by-step explanation:

using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.

3 0

2 years ago