If y = 1/(x^2) + 4x, find dy/dx
First, notice that 1/(x^2) = x^(-2)dy/dx = d/dx (x^(-2) + 4x)The derivative of the sum is the sum of the derivatives= d/dx (x^(-2)) + d/dx (4x)The derivative of x^n is nx^(n-1), for every real number n, and a constant gets in front of the deivative= -2 x^(-3) + 4 d/dx (x)= -2/(x^3) + 4
BM
Related Maths A Level answers
All answers ▸Consider a differential equation where dx/dt = -axt. Find an equation for x(t).
A curve C has equation y = x^2 − 2x − 24sqrt x, x > 0. Prove that it has a stationary point at x=4.
integrate xsin(x)
Show that the determinant of the 3x3 matrix (2 1 1 / 2 1 7 / 6 3 5) is equal to zero.