Answers>Maths>A Level>Article

Differentiate 3x^2+1/x and find the x coordinate of the stationary point of the curve of y=3x^2+1/x

To differentiate we multiply by the power and take one off the power. d/dx(3x^2+1/x)= 6x-1/x^2 At a stationary point the gradient equals zero 6x-1/x^2=0 which rearranges to x=(1/6)^(1/3)

Answered by Rachel W. • Maths tutor

3614 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).

What is the equation of the tangent to the curve y=x^3+3x^2+2 when x=2

1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground

Differentiate 3x^2+1/x and find the x coordinate of the stationary point of the curve of y=3x^2+1/x

Related Maths A Level answers

The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).

What is the equation of the tangent to the curve y=x^3+3x^2+2 when x=2

1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground

Solve simultaneously: x + y + 3 = 0 and y = 2x^2 +3x - 1

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2024

CLICK CEOP