Engineering Board Exam Reviewer · Higher-Order Derivatives · medium

Find d2y/dx2 if y=e2x x.

1. ≤ft(3 x - 4 x ) e2 x
2. ≤ft(4 x + 3 x ) e2 x
3. ≤ft(3 x + 4 x ) e2 x
4. ≤ft(2 x + x ) e2 x

Answer

C. ≤ft(3 x + 4 x ) e2 x

Solution

y'=e2x(2 x+ x). Then y''=e2x≤ft[2(2 x+ x)+2 x- x ]=e2x(3 x+4 x).

More Higher-Order Derivatives questions

1. Find the third derivative of y=x5.
2. Find d2y/dx2 if y=x4-3x2+2x.
3. Find the third derivative of y=x x.
4. Find d2y/dx2 if y= ≤ft(x2+1 ).

All Higher-Order Derivatives questions