if fx 2x5 3x3 5x then find f1Solutionfx 2x5 3x3 5x Fir

if f(x) = 2x^5 - 3x^3 + 5x   then find f\'\'(1)

Solution

f(x) = 2x^5 - 3x^3 + 5x   

First we will determine first derivative f\'(x)

f\'(x) = 2*5x^4 - 3*3x^2 + 5*1

= 10x^4 - 9x^2 + 5

Now we will determine f\'\'(x) by differentiate f\'(x).

f\'\'(x) = 10^4x^3 - 9*2x

= 40x^3 - 18x

Now we will substiute with x=1

==> f\'\'(1) = 40*1 - 18*1 = 22

==> f\'\'(1) = 22