SOLUTION: Find the derivative of the function by the limit process. 6-x^2

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Question 1189513: Find the derivative of the function by the limit process.
6-x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the derivative of the function by the limit process.
6-x^2
This is the formula for computing the derivative using the limit definition.
lim%28h-%3E0%2C%28f%28x%2Bh%29-f%28x%29%29%2Fh%29

Substituting in our function: 6-x%5E2++

lim%28h-%3E0%2C%286-%28x%2Bh%29%5E2-%286-x%5E2%29%29%2Fh%29

lim%28h-%3E0%2C%286-%28h%5E2+%2B+2+h+x+%2B+x%5E2%29-%286-x%5E2%29%29%2Fh%29

lim%28h-%3E0%2C%286-h%5E2+-2+h+x+-+x%5E2-6%2Bx%5E2%29%2Fh%29

lim%28h-%3E0%2C%28-h%5E2+-2+h+x+%29%2Fh%29

lim%28h-%3E0%2C%28-h+-2x+%29%29=-2x