1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nostrana [21]
3 years ago
11

How do I differentiate the function f(x)=(-2x^3+1)^5 with respect to x?

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

To solve this problem, we're going to have to use the chain rule. Let g(x)=x^5 \text{ and } h(x)=-2x^3+1

f(x)=g(h(x)) which means that g(x)'s input changes at a different speed than x and that speed is the derivative of h(x). Written down, since it seems kinda weird to explain, we have:

\frac{df(x)}{dx}=\frac{dg(x)}{dh(x)}*\frac{dh(x)}{dx}

so that mean's we're analyzing:

f'(x)=g'(h(x)))h'(x)

So:5(-2x^3+1)^4*(-6x^2)=-480 x^{14} + 960 x^{11} - 720 x^{8} + 240 x^{5} - 30 x^2

You might be interested in
Which of the following has a value of 84? <br> A. 512 <br> B. 4,096 <br> C. 32 <br> D. 83
andreev551 [17]
Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

    8 x 8 =      64
  64 x 8 =    512
512 x 8 = 4,096




6 0
3 years ago
Rewrite as a simplified fraction.<br> 2.267....=?
Ugo [173]

Answer:

2267/1000

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which expressions are differences of squares? Select each correct answer
garri49 [273]
For this ones the second value is always negative so A is not correct. Also they have to have an exact square root which 50 doesn't. So the answers are B and C
(a-6)(a+6)
(w-11)(w+11)
4 0
3 years ago
Read 2 more answers
What is 0.55 in a decimal as a fraction in simplest form ?
anzhelika [568]
0.55 is equal to 55/100, and by dividing the numerator and denominator by 5, we get 11/20. Hope this helps!
8 0
2 years ago
At time t=0, water begins to drip out of a pipe into an empty bucket. After 56 minutes, 8 inches of water is in the bucket. what
Sergio [31]

Answer:

W = (1/7) t

Step-by-step explanation:

At t = 0, W  =  0

At t = 56 minutes , W = 8 inches

W = k*t    The y intercept = 0 because t = 0 W = 0

8 inches = k * 56 minutes

k = 8 / 56

k = 1/7 inches / minute

W = (1/7) t

3 0
3 years ago
Other questions:
  • What do you think the answer is, I really need help, please and thank you, Hurry
    9·2 answers
  • Without graphing, determine whether the function y = ( 5 . 2 )^x represents exponential growth or exponential decay.
    6·1 answer
  • suppose marisol scored a 96% on an english test. There were 50 questions on the test. How many did marisol answer correctly?
    11·2 answers
  • What’s 325 devied by 13 and how do you solve it helpppp
    15·2 answers
  • Marco has a jug with 3 7/2 ounces of juice. he wants to use some small cups to pass out samples of the juice
    13·1 answer
  • An artist uses four distinct colors in his latest painting–red, blue, green, and yellow– with ounces used in a ratio of 10:22:4:
    11·1 answer
  • I SWEAR PLS SOMEONE HELP ME W THIS
    13·1 answer
  • Given that p varies jointly as q and r, and p = 7. when q = 2
    15·1 answer
  • What statement about the angles measures is true ( PLS HELP ME)
    14·1 answer
  • Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!