Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
The area of a square is (side)².
If the area is 128m², then the side is (√128) meters. (That's 8√2.)
The diagonal is the hypotenuse of the right triangle you get
if you slice the square in half along the diagonal. Its length is
given in the words of Old Pythagoras:
c² = a² + b²
'a' and 'b' are sides of the square, so
c² = (√128)² + (√128)²
= 2 (√128)²
c = √ (2 x 128) = √256 = 16 meters .
Answer:
If you need the answer as f by simplifying both sides of the equation and then isolating the variable, the answer would be:

Or, if you need to evaluate the function itself, the answer would be:

Answer:
7:5 is the same as 21: 15
Step-by-step explanation:
21/7 = 3 and 3*5=15
i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5
I hope this helps :)
Answer:
x=-2/k
Step-by-step explanation:
To solve you need to make x on one side while the other variables or numbers on the other.
First, you need to move the 9 to the other side by subtracting 9 from both sides: kx+9-9=7-9
Simplify: kx=-2
Now you need to divide by k into both sides in order to eliminate the k on kx:
x=-2/k
Answer: x=-2/k
Hope this helps!