power rule
derive
y=1/x5
y'=-5x-6
or
y'=-5/x6
y= -x + tanx
y'= -1 + sec2x
y= x2(2x4-5)
y'= 12x5-10x
y=x4/4x2+4
y'= x5+2x3/2x4+4x2+2
derive
y= 3/2x4
y'=-6/x5
y= sinxcosx
y'= cos2x-sin2x
y= 2x3(-x3+3)
y'= -12x5+18x2
y=3x3-3x2/3x3+5
y'= 9x4+45x2-30x / 9x6+30x3+25
f(x)= x1/2-6x1/3
f'(x)= 1/2x1/2 - 2/x2/3
y= 2xsinx + x2cosx
y'= 4xcosx + 2sinx - x2sinx
y= (4x4-5)(-x4+x2+2)
y'= -32x7+24x5+52x3-10x
y= x4+4x2-4 / 2x3-4
y'= x6-4x4-8x3+12x2-16x / 2x6-8x3+8