SOLUTION: Find the maximum slope of the line tangent to the curve y = -x³+6x²+16x+20.
Algebra.Com
Question 1111383: Find the maximum slope of the line tangent to the curve y = -x³+6x²+16x+20.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I've seen this problem (with different numbers) at least twice earlier today.
Look at the solved problems.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the maximum slope of the line tangent to the curve y = -x³+6x²+16x+20.
----
Slope at every point = -3x^2+12x+16
--------
To find max slope take the derivative and solve::
-6x+12 = 0
x = 2
-------
Ans: Max Slope = -3*2^2+12*2+16 = -12 + 24 + 16 = 28
-----------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Find the minimum slope of the line tangent to the curve y = x³-3x²+6x+3.
(answered by Boreal)
Find the minimum slope of the line tangent to the curve y =... (answered by KMST)
What is the slope of the tangent line to the curve y = 2x^4 + x^3 + 6x at x =... (answered by Alan3354)
Find the slope of the line tangent to the curve y^2=12x at (3,6)
(answered by Boreal)
Find the slope of the line tangent to the curve y^2=12x at... (answered by josmiceli)
Find the slope of the line tangent to the curve y^2=12x at... (answered by Fombitz)
Find the equation of the line with slope -1 that is the tangent to the curve... (answered by drk)
Can anyone help with the following problem?
What is the slope of the tangent line to the (answered by nerdybill)
The line y=2x+c is a tangent to the curve y=2x^2-6x+20.find the value of... (answered by math_helper)