What is the gradient of the curve y = 2x^3 at the point (2,2)?
Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x2Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When x = 2, dy/dx = 6× 4 = 24Therefore the gradient is 24.
ER
Related Maths A Level answers
All answers ▸A block of temperature H=80ºC sits in a room of constant temperature T=20ºC at time t=0. At time t=12, the block has temperature H=50ºC. The rate of change of temperature of the block (dH/dt) is proportional to the temperature difference of the block ...
Given that log3 (c ) = m and log27 (d )= n , express c /(d^1/2) in the form 3^y, where y is an expression in terms of m and n.
Solve 4x/(x+1) - 3/(2x+1) = 1
Find where the graph of y=3x^2+7x-6 crosses the x axis