Question

F(x)=2x^3+ax^2-24x+1 has a local maximum at x=-4. find a

Answer 1

Explanation:

ax2+2x3−24x+1=y

Step 2: Add -2x^3 to both sides.

ax2+2x3−24x+1+−2x3=y+−2x3

ax2−24x+1=−2x3+y

Step 3: Add 24x to both sides.

ax2−24x+1+24x=−2x3+y+24x

ax2+1=−2x3+24x+y

Step 4: Add -1 to both sides.

ax2+1+−1=−2x3+24x+y+−1

ax2=−2x3+24x+y−1

Step 5: Divide both sides by x^2.

ax2

x2

=

−2x3+24x+y−1

x2

a=

−2x3+24x+y−1

x2

Answer:

a=

−2x3+24x+y−1

x2