The Curve y=ax^3+bx^2+cx+5y=ax3+bx2+cx+5 passes through the point P (-1,4)P(−1,4) and at the point PP the first and second derivatives of the curve are 88 and -24−24 respectively. Find the values of the constants a,b and ca,bandc?
1 Answer
Feb 6, 2018
Explanation:
Let f be a real valued function defined by:
We have 3 conditions for the function:
f(-1)=4f(−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: