SOLUTION: find the slope of the tangent line to the following curves at the designated points: f(x)= x^2+x ,(2,-3) y^4-4y^2=x^4-9x^2 ,(3,2)

Algebra ->  Functions -> SOLUTION: find the slope of the tangent line to the following curves at the designated points: f(x)= x^2+x ,(2,-3) y^4-4y^2=x^4-9x^2 ,(3,2)       Log On


   

Question 964915: find the slope of the tangent line to the following curves at the designated points:
f(x)= x^2+x ,(2,-3)
y^4-4y^2=x^4-9x^2 ,(3,2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the derivative.
The value of the derivative at a point is the slope of the tangent line at that point.
df%2Fdx=2x%2B1
df%2Fdx=2%282%29%2B1
df%2Fdx=4%2B1
m=df%2Fdx=5
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4y%5E3dy-8ydy=4x%5E3dx-18xdx
%284y%5E3-8y%29dy=%284x%5E3-18x%29dx
dy%2Fdx=%284x%5E3-18x%29%2F%284y%5E3-8y%29
dy%2Fdx=%282x%5E3-9x%29%2F%282y%5E3-4y%29
dy%2Fdx=%282%283%29%5E3-9%283%29%29%2F%282%282%29%5E3-4%282%29%29
dy%2Fdx=%282%2827%29-27%29%2F%282%288%29-8%29
m=dy%2Fdx=%2827%29%2F%288%29