Differentiate: y = 4x^3 - 5/x^2

To make this equation easier to differentiate it would be easier to write it using index rules as y = 4x^3 - 5x^-2 From here we can begin to differentiate: dy/dx = 3*4x^(3-1) - (-2)*5x^(-2-1) Then finally simplify the equation above to give: dy/dx = 12x^2 +10x^-3

CB

Related Maths A Level answers

All answers ▸

How would I sketch the graph sin(x) + sin(2x - π/2) in my exam?


Differentiate with respect to x: (x^2+5)^3


Use logarithms to solve the equation 2^(n-3) = 18000, giving your answer correct to 3 significant figures.


What is the difference between a scalar product and a vector product, and how do I know which one to use in questions?