What is the general rule for differentiation?

In differentiation you multiply the coefficient of the subject (what the value is multiplied by e.g. 3 is the coefficient of 3x6) by its exponent (the power that the value is raised to e.g. the exponent of 3x6 is 6-) and then reduce the exponent by one. So to differentiate 3x6 you multiply 3 by 6 to get a new coefficient of 18, and reduce 6 by 1 to give a new exponent of 5, leaving a final answer of 18x5.

OB

Related Maths A Level answers

All answers ▸

Prove the trigonometric identity tan^2(x)+1=sec^2(x)


A triangle has sides A, B and C. The side BC has length 20cm, the angle ABC is 50 deg and angle BAC is 68 deg. a) Show that the length of AC is 16.5cm, correct to three significant figures. b) The midpoint of BC is M, hence find the length of AM


Differentiate 2e^(3x^2+6x)


Find the equation of the normal to the curve x^3 + 2(x^2)y = y^3 + 15 at the point (2, 1)