Use the power rule
d(x^n)/dx = n·x^(n-1)
to form the derivative.
f'(x) = 4·2x -4
f'(x) = 8x - 4
Now, substitute "a" for "x" to find f'(a):
f'(a) = 8a - 4
Given:
The figure of a right angle triangle.

Hypotenuse =
in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is
in.
Using Pythagoras theorem, we get


![[\because a=b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%3Db%5D)

Divide both sides by 2.

Taking square root on both sides.


Side cannot be negative. So,

Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:
tan (value) = opposite/adjacent
tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)
8 * tan 75 = opposite
29.8564065 = opposite
So, the ladder is 29.9 feet.
You can take x = a, 2y = b and then can apply the binomial theorem.
The expansion of given expression is given by:
Option D:
is
<h3>What is binomial theorem?</h3>
It provides algebraic expansion of exponentiated(integer) binomial.
According to binomial theorem,

<h3>How to use binomial theorem for given expression?</h3>
Taking a = x, and b =2y, we have n = 7, thus:

Thus, Option D:
is correct.
Learn more about binomial theorem here:
brainly.com/question/86555
4x-7x= 13
⇒ -3x= 13
⇒ x= 13/(-3)
⇒ x= -13/3
The final answer is x= -13/3~