Ask question

Ask question

All categories

3 years ago

13

Find the nth derivative of (sin x)^3

1 answer:

luda_lava [24]3 years ago

5 0

You'll need to try to find the pattern that applies here. Find the 1st, 2nd, 3rd, 4th and 5th derivatives. Is a pattern evident?

n=1: first derivative of (sin x)^3 is 3(sin x)^2*cos x (which is a product)

n=2: second deriv. of (sin x)^3 is 3(sin x)^2*(-sin x) + (cos x)*(6sin x cos x)

Please find the 3rd, 4th and 5th derivatives. Then try to recognize a pattern in the derivatives governed by the counter "n".

You might be interested in

iris [78.8K]

Answer:

The answer to your question is x ≠ -10 x ≠ 2 x ≠ -2

Solution $\frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}$

Step-by-step explanation:

Process

1.- Factor all the polynomials

$\frac{x^{2} -3x - 40}{x^{2} + 8x - 20} / \frac{x^{2}+ 13x + 40}{x^{2}+ 12x + 20}$ = $\frac{(x-8)(x + 5)}{(x + 10)(x- 2)} / \frac{(x+ 8)(x + 5)}{(x + 10)(x + 2)}$

2.- Invert the second term

= $\frac{(x- 8)(x + 5)}{(x +10)(x - 2)} \frac{(x+ 10)(x + 2)}{(x + 8)(x +5)}$

3.- Simplify

= $\frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}$

4.- x must be different to

x ≠ -10 x ≠ 2 x ≠ -2

This values are from the factor expressions and then equal to zero.

8 0

3 years ago

Mitchell needs to take 2 medications. One

Archy [21]

Answer:

The 12th day.

Step-by-step explanation:

Every four days: 4th, 8th, 12th.

Every three days: 3rd, 6th, 9th, 12th.

You just find lowest common multiple of four and three. Which just means the first multiple they share.

Hopes this makes sense!

6 0

2 years ago

What is the length of line segment GH?<br> 3 units<br> 4 units<br> 5 units<br> 6 units

FrozenT [24]

Answer:

GH = 6 units

Step-by-step explanation:

Calculate GC using Pythagoras' identity in right triangle GCE

GC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

GC = $\sqrt{225}$ = 15

GH + HC = GC ← HC is the radius of the circle and HC = 9, thus

GH + 9 = 15 ( subtract 9 from both sides )

GH = 6

8 0

2 years ago

Read 2 more answers

What is the relationship between the 6s in the number 7,664

olga55 [171]

The relationship between the 6's in 7,664 is that it can be 600 and 60.

8 0

3 years ago

Evaluate the expression if p = 1,1=-7, and s= -2.<br> -3p-21<br> 6+4s<br><br> Plzz hurry!!

zzz [600]

Answer : A

To solve this all you have to do is use substitution.

5 0

3 years ago