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The function f(x)=x^2 -2x -24x^(1/2) has one stationary point. Find the value of x when f(x) is stationary, and hence determine the nature of this stationary point.

dy/dx = 2x - 2 -12x^-1/2dy/dx = 02x - 2 - 12x^-1/2= 0x = 4 (stationary point)d²y/dx²= 2 + 6x^-3/2when x=4, d²y/dx²= 11/411/4 >...

Answered by • Maths tutor

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A curve has an equation of y=2x^2 + 7x -8 . Find the co-ordinates of the turning point

Student will need to understand that the turning point will be a minimum as the curve is positiveStudent should complete the square:1) factorise out the 2: 2(x²+ 7/2 x) - 82) complete the squa...

Answered by Farah H. • Maths tutor

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Take the 2nd derivative of 2e^(2x) with respect to x.

The second derivative is just two derivatives carried out back to back. In this case we just have to differentiate this function once, and then differentiate the result. The derivative of 2e^(2x) can then...

Answered by Patrick A. • Maths tutor

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What is the difference between the passé composé and the imperfect tenses in French?

Both of these tenses are used to refer to actions in the past. The first one, the passé composé, is used to refer to completed actions, things that happened at a specific point in time. The imparfait, or ...

Answered by Michael T. • French tutor

1988 Views

What is a logarithm?

Logarithms, written in the form log_xy, are another type of mathematical 'operation', just like addition or multiplication. Subtraction as the opposite of addition, division is the opposite of m...

Answered by Laurie H. • Maths tutor

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