What is the diameter of a circle if the radius is 400 millimeters
2 answers:
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Alrighty
remember
means 
and
and
for all real values of x
so
means
means
which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
and 
2 solutions
remember
and
and
so
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
2 solutions
Ok first we can split it in two : 
and 
.
The derivative of is 3.
For the first part, we use the chain rule :![[f(g(x))]'=g'(x)f'(g(x))](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Dg%27%28x%29f%27%28g%28x%29%29)
hence 
(since the derivative of the exponential is itself) hence 
The derivative of
For the first part, we use the chain rule :