What is differentiation in mathematics and what does it represent?
Differentiation is the rate of change of one variable with respect to another at a point in time or space. In other words, this can be described as the slope of a curve, which is how much the curve goes up or down for a certain amount of horizontal distance (Would draw a graph on the whiteboard to illustrate).
An example of this would be the speed of a car, where the speed is the distance travelled by the car differentiated with respect to the amount of time that has gone by. If the car travels 10 m in 2 seconds, it has an average speed of 5 m/s (10/2 = 5). The differentiation would provide the instantaneous speed of the car, so you would perform the same operation but for an infenitissimally small amount of time Dt.
MB
Related Maths A Level answers
All answers ▸Two lines have equations r = (1,4,1)+s(-1,2,2) and r = (2,8,2)+t(1,3,5). Show that these lines are skew.
Express cos(x) + (1/2)sin(x) in terms of a single resultant sinusoidal wave of the form Rsin(x+a)
a) Express 4(cosec^2(2x)) - (cosec^2(x)) in terms of sin(x) and cos (x) and hence b) show that 4(cosec^2(2x)) - (cosec^2(x)) = sec^2(x)
integrate x^2 + ln(x)