The Curve #y=ax^3+bx^2+cx+5# passes through the point #P (-1,4)# and at the point #P# the first and second derivatives of the curve are #8# and #-24# respectively. Find the values of the constants #a,b and c#?
1 Answer
Feb 6, 2018
Explanation:
Let f be a real valued function defined by:
We have 3 conditions for the function:
#f(-1)=4# #f'(-1)=8# #f''(-1)=-24#
Start by computing the first and second derivatives:
Substitute the function and it's derivatives in the condition and solve the simultaneous equations: