When you have a function that is in the form of (f(x))^n, the derivative of the function will have the formula:
n * (f(x))^(n-1) * f'(x)
The given function is:
y = (3x+x^2) ^ 5
Based on the above, the derivative with respect to x would be:
5 * (3x+x^2)^(5-1) * f'(3x+x^2)
This would give a result of:
5 * (3x+x^2)^4 * (3+2x)
Comparing the calculated derivative with the given choices, the right choice would be:
B. 5 * (3x+x^2)^4 * (3+2x)
- The value of x from the figure is 8
- The perimeter of AED is 30.80
To get the value of x, we will use the similarity theorem of the triangle;
a) From the given image:
On factorizing
Since x cannot be negative, then x = 8
b) The perimeter of AED = AE + ED + AD
Given
AD = 10
ED = x = 8
AE² = AD² + ED²
AE² = 10²+8²
AE² = 100 + 64
AE² = 164
AE = √164
AE = 12.80
Perimeter of AED = 12.80 + 8 + 10
Perimeter of AED = 30.80
Hence the perimeter of AED is 30.80.
Learn more here: brainly.com/question/19892143
Answer:
600
Step-by-step explanation:
Volume of cuboid = l x w x h
length = 12
width = 10
height = 5
12 x 10 x 5 = 600 yd^3
answered by g a u t h m a t h
Answer:
B. 2x + 7
Step-by-step explanation:
I can see where this is tough, lets go through it. Polynomials that are factored need to be able to multiply back into themselves. When looked at a polynomial, you can find a common multiplier for both, but we already have those. The common multipliers are what goes outside of the parenthesis. Now you just need to find what's inside. The numbers inside are going to be the numbers that multiply back to the numbers above. You can go by process of elimination to get rid of options. First, you will do 5 * 2 to get 10, meaning you can remove A and C. Then you see that you have to get to the third power on the 10, and get to x on the 4. This means you will have to have 1x on the first number of the set to ensure you get both of those numbers.
Hope this helped, please mark brainliest i need to feed my family ^_^
Answer:
f'(12)= 5
Step-by-step explanation:
Use the data in the table to approximate f ′(12).
x 3 4 7 11 13
f(x) 2 8 10 12 22
f'(12) is nothing but the slope at x=12
To find slope at x=12 we two points from the table x=11 and x=13
(11,12) and (13,22)
Slope formula =
(11,12) is (x1,y1) and (13,22) is (x2,y2)
f'(12) =
so f'(12)= 5