Differentiate f(x) with respect to x. Find the stationary value and state if it is a maxima, minima or point of inflection f(x) = 6x^3 + 2x^2 + 1

differentiate 6x^3 + 2x^2 + 1 = 18x^2 + 4x

To determine stationary point set second derivative to zero

2nd derivative =36x + 4

36x + 4 = 0 therefore x = -4/36 = -1/9

x is -ve therefore point x = -1/9 is a maxima

HH

Related Maths A Level answers

All answers ▸

Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Given y(x+y)=3 evaluate dy/dx when y=1


Differentiate x^2 + xy + y^2 =1 implicitly.


Given a curve has the equation f'(x) = 18x^2-24x-6 and passes through the point (3,40), use integration to find f(x) giving each answer in its simplest form.