X=- 3/2 i believe because if the square root is x-3 you would replace it with them, but that's what i think.
Answer:
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
Step-by-step explanation:
we need to break this up using the chain rule
(3x⁴+2)=u
so we have
So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)
which is 12x³
we now need to take the derivative of u⁵=5u⁴
Mulitply these together
60x³u⁴=60x³(3x⁴+2)⁴
do the same thing again
60x³u⁴
we now need to do the mulitplication rleu
(60x³)'(u⁴)+(60x³)(u⁴)'
=
180x²u⁴+60x³*4u³
simplify
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
while you could do more to simplify it, it would get really messy
The two is in the tenths place.
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04
