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 ▸If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.
f(x) = x^3 + 3x^2 + 5. Find f'(x) and f''(x).
Why do you differentiate in optimisation questions?
f(x) = 2x3 – 5x2 + ax + 18 where a is a constant. Given that (x – 3) is a factor of f(x), (a) show that a = – 9 (2) (b) factorise f(x) completely. (4) Given that g(y) = 2(33y ) – 5(32y ) – 9(3y ) + 18 (c) find the values of y that satisfy g(y) = 0, givi