Differentiate wrt x

Find dy/dx

if y = log_etan2x

A particle moves along a straight line from a fixed point O such that its distance s metres at time t seconds is given by s = 2 +8t - 0.5t². Find the velocity of the particle as it passes point O.

The distance S (m) covered in time t (s) by a body is

s = 5(1 -e^-4t).
Find its speed, in m/s, when t = 0

Differentiate the function wrt x:
y = x³(x²-3x+1)

Find, from the first principles, the derivative with respect to x of the function 

      y = 2x² - x + 3

Find the derivative of f(y) =

If y = x² - 1/x, find dy/dx

Find, w.r.t.x, the derivative of 

Find the derivative of y = sin²(5x) wrt x

Differentiate the functions wrt x:
(x-2)(3x+5)

Differentiate the function wrt x:
(2x-7)²

Differentiate the function wrt x:
y = √x

From the curve y =(4 - x)(3 + x), find the gradients of the curve at the points P(-1, 10) and Q(3, 6)

If y = x³ + 3x²,

find 2(dy/dy) - x(d²y/dx²)

Find the maximum value of the function
3x²-x³

Find the derivative of y = sin(2x³ + 3x - 4) wrt x

Differentiate the function w.r.t x: y = 4(x² - 3)

A curve has equation y = x³ -4x² - 3x + 18, the point P(-2, 0) lies on the curve. Find the gradient of the tangent to the curve at P.

Use the product rule to differentiate wrt x
x³(2x+5)³

Use chain rule to differentiate (3x+4)³

Differentiate wrt x:
x³(x - 1)

Find dy/dx if :

       y = cos2xsinx + sin2xcosx

Differentiate the functions wrt x:
5(3x-4)²

Find the derivative of (2+3x)(1-x) with respect to x