Find the derivatives of the following functions using the differentiation rules.
f(x)=(x^3-2x^2+x+1)(sqrt(x)-3x+9)
I did:
f'(x)=[x^3-2x^2+x+1][(1/2x^(-1/2)-3]+[x^(1/2)-3x+9][3x^2-4x+1]
which I got to be
[-12x^3+(7/2)x^(5/2)+46x^2-5x^(3/2)-42x+(3/2)x^(1/2)+6]/[2x^(1/2)]
I just wanted to make sure I didn't make any mistakes because the fractions are confusing.
2 answers
Your first line derivative is correct, however, I haven't got a clue how you got that last line.
Thats what I got whenever I simplified it
1 answer