Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.
This is an example of a common AS differentiation Q. To find dy/dx simply apply the power rule to each term in the equation. The power rule is if you have a term x^n then dy/dx will be n times x^(n-1). e.g. for 4x^3 we multiply 3 by 4 for our coefficient and subtract 1 from the power giving us 12x^2. So here dy/dx = 12x^2 + x^-1/2.
Related Maths A Level answers
All answers ▸For the curve y = 2x^2+4x+5, find the co-ordinates of the stationary point and determine whether it is a minimum or maximum point.
Statistics: Dave throws a ball at a bucket. The probability the ball goes into the bucket is 0.4. Dave throws the ball four times. What is the probability that he gets it in twice?
Use logarithms to solve the equation 2^(n-3) = 18000, giving your answer correct to 3 significant figures.
Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦