How do I integrate and differentiate 1/(x^2)?

1/(x2) can be written as x-2

We know that to differentiate you need to multiply by the value of the old power and minus 1 from it. This means dy/dx of y=x-2 is -2x-3=-2/(x3)

To integrate you add one to the power and divide by the new power and add a constant. So the integral is (1/-1)x-1+c=-1/x + c

JG

Related Maths A Level answers

All answers ▸

Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.


By consdering partial fractions find the integral of (1-x)/(5x-6-x^2) between x = 1 and x = 0, give your answer in an exact form.


Differentiate 3x^2+1/x and find the x coordinate of the stationary point of the curve of y=3x^2+1/x


show that y = (kx^2-1)/(kx^2+1) has exactly one stationary point when k is non-zero.