导数的练习题求解.1.y=4x^2-3x+52.y=2x+3/4x+53.y=(根号x)*(2lin3x-5)4.y=arcsin2x/35.y=x*根号下1-x^26.y=1/3x^2+7X+17.2tgx-1/3tgx+2

Question

导数的练习题求解.
1.y=4x^2-3x+5
2.y=2x+3/4x+5
3.y=(根号x)*(2lin3x-5)
4.y=arcsin2x/3
5.y=x*根号下1-x^2
6.y=1/3x^2+7X+1
7.2tgx-1/3tgx+2

Answer 1

1.y=4x^2-3x+5
y'=8x-3
2.y=2x+3/(4x)+5
y'=2-3/(4x^2)
3.y=(根号x)*(2lin3x-5)
y'=根号x*(2ln3x-5)'+(2ln3x-5)/(2根号x)=6根号x/(3x)+(2ln3x-5)/(2根号x)
4.y=arcsin2x/3
y'=2/3*1/根号(1-4x^2/9)=2/[3根号(1-4x^2/9)]
5.y=x*根号下1-x^2
y'=根号(1-x^2)+x[根号(1-x^2)]'=根号(1-x^2)-x^2/根号(1-x^2)=(1-2x^2)/根号(1-x^2)
6.y=1/3x^2+7X+1
y'=2x/3+7
7.2tgx-1/(3tgx)+2
y'=2secx^2+1/(3tgx^2)*secx^2=2secx^2+1/(3sinx^2)