How do you find the second derivative of #x^4+2x^2+3#?

1 Answer
Jan 10, 2017

Answer:

#12x^2+4#

Explanation:

differentiate each term using the #color(blue)"power rule"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))#

#"let " f(x)=x^4+2x^2+3#

#rArrf'(x)=4x^3+4x+0=4x^3+4x#

To obtain the second derivative, differentiate f'(x) ,again using the power rule.

#rArrf''(x)=12x^2+4#