How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would become 3x^2+2. The differential is the first derivative of a function and it can represent the gradient of the function. The differential can then be used to find maxima and minima of a function when the differential is equal to zero.

LW

Related Maths A Level answers

All answers ▸

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)


how to write down the differential equation from a word problem, involving rate of change.


Integrate 2x^5 - 1/4x^3 - 5


What's the proof for the quadratic formula?