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

Using the product rule differentiate wrt x
(3x + 4)(x - 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.

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

The displacement xcm from a fixed point of a particle moving in a straight line after time t (s) is given by

x = 12t - 15t² + 4t³.

Find its acceleration in m/s², after 3s.

The speed s of a particle  after t seconds is given by v = 7 + 25t -4t² . Find the acceleration of the particle after 2 seconds.

The side of a square of length 5 cm is increasing at 0.1m/s. What is the rate of increase of the area of the square?

If the radius of the base of a cone is decreasing at 2 cm/s, find the rate of increase in volume when the radius of the base is 5 cm.

Find the derivative of <span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #000000;font-family: Helvetica, Arial, Verdana, sans-serif;background-color: #ffffff" role="presentation" data-mathml="g(y)=(y−4)(2y+y2)">g(y) = (y-4) (2y + y²)

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

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

If y = 2x²,
find the appropriate increase in y when x increases from 5 to 5.01

Find, w.r.t.x, the derivative of 

Find the equation of the tangent to the curve

y = 2x² - 5x + 1
at the point (2, -5)

Find, w.r.t.x,

the derivative of (2x² - x + 3)³

Differentiate the function w.r.t x: 
y= 5(x+5)

Differentiate the function wrt x:
y = √x

Differentiate (x² - 1/x)² wrt x

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

Differentiate w.r.t x  3x²+4x

Find dy/dx

if y = log_etan2x

The distance s metres after time t second covered by a particle moving along a straight line is given by

s = t³ - t² - t - 2
Find the acceleration when the velocity is zero

Find the value of x at which the function

y = x³ - 7x² + 15x   has the greatest value

Find the slope of the tangent to the curve y = 3x² - 2x + 5 at the point (-1, 10)

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