Find the slope of the curve $y=2{{x}^{2}}+5x-3$at (1,4) 

Find the maximum value of y in the equation $y=1-2x-3{{x}^{2}}$

If $y={{x}^{2}}-\frac{1}{x},$find $\frac{dy}{dx}$

A circle with radius 5cm has its radius increasing at the rate of 0.2cms^-1. What will be the corresponding increase in the area?

The slope of the tangent to the curve $y=3{{x}^{2}}-2x+5$at the point (1,6) is

Find the derivative of y =sin²5x with respect to x 

Find the dimension of the rectangle of greatest areas which has a fixed perimeter p.

If $y=x\sin x$ find $\frac{dy}{dx}$ when $x=\tfrac{\pi }{2}$

Find the rate of change of the V of a sphere with respect to its radius r when r =1

Differentiate (2x + 5)² (x – 4) with respect to x