3 years ago

Use the chain rule to differentiate the following function.f(x)=(5x+sin^3(x)+sinx^3)^3

Mathematics

1 answer:

Bumek [7]3 years ago

4 0

$f(x)=(5x+\sin^3(x)+\sin x^3)^3\\\frac{df(x)}{dx}=3(5x+\sin^3(x)+\sin x^3)^2\cdot (5+3\sin^2x\cos x+3x^2\cos x^3)$

You might be interested in

Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h

Elden [556K]

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

$x=5\frac{1}{4}\ hours$

convert mixed number to an improper fraction

$5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours$

$x=\frac{21}{4}\ hours$ -------> equation A

$y=\frac{1}{2}x$ ------> equation B

Substitute equation A in equation B

$y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours$

convert an improper fraction to a mixed number

$\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours$

therefore

<u>the answer is the option B</u>

$2\frac{5}{8}\ hours$

5 0

3 years ago

Read 2 more answers

A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it ba

aliya0001 [1]

Answer:

2/10 = 1/5

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP!!

statuscvo [17]

Answer:

Step-by-step explanation:

okay so 13=13 d = t

13×d = t

13×6 = 76

8 0

2 years ago

7x - 4 = 24<br> show your work

Debora [2.8K]

Move -4 to the other side
7x=24+4
7x=28
x=4

4 0

3 years ago

Read 2 more answers

What is the value of g(2)?

Svetlanka [38]

Answer:

i think its 2

according to me

8 0

3 years ago

Read 2 more answers