3 years ago

Find the derivative of the following functions f(x) = x^7 - 2x^3 - 9x

Mathematics

1 answer:

Finger [1]3 years ago

8 0

Use the power rule,
d(x^n)/dx = nx^(n-1)

So
f(x)=x^7-2x^3-9x
f'(x)=7x^6-6x^2-9

You might be interested in

Simplify the expression 6ab + 3ab - 7ab. What is the coefficient of the simplified expression?

Vika [28.1K]

The simplified equation is 2ab, so the coefficient would be 2.

5 0

3 years ago

A shipping crate is shaped like a rectangular prism. It is 5 1/2 feet long by 3 feet wide by 3 feet high. What is the volume of

Andrej [43]

Volume = Length x width x height
Volume = 5 1/2 x 3 x 3 = 49.5 cubic feet

6 0

3 years ago

6 / 32 Simplify a) 4p + 2p – 3p b) 9s- 5s + 2s-S c) 8t + 3r - 76 - 9r

Charra [1.4K]

Answer:

a.3p

b 5s

c 2r -76 this can be the answer

3 0

2 years ago

Read 2 more answers

Two angles of a quadrilateral measures 20° and 50° the other two angles are in a ratio of 4:15 what are the measures of those tw

AURORKA [14]

Answer:

Solve for Y, then use either equation to find X

Step-by-step explanation:

360-275-20=65ratio 3:103x+10x=6513x=65x=55*3=15° and 5*10=50°15° and 50° are the other two angles

6 0

2 years ago

If a and b are positive numbers, find the maximum value of f(x) = xa(7 â x)b on the interval 0 â¤ x â¤ 7.

algol [13]

Given $f(x)=x^a(7-x)^b$ on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.

$f'(x)=0 \\ \\ \Rightarrow -bx^{a}(7-x)^{b-1}+ax^{a-1}(7-x)^b=0 \\ \\ \Rightarrow ax^{a-1}(7-x)^b=bx^{a}(7-x)^{b-1} \\ \\ \Rightarrow a(7-x)=bx \\ \\ \Rightarrow (a+b)x=7a \\ \\ \Rightarrow x= \frac{7a}{a+b}$

8 0

2 years ago