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y=x^2, find dy/dx

y=x^2 if y = a*x^b then dy/dx = ba*x^(b-1) therefore dy/dx = 2*x
MW
Answered by Matthew W. • Maths tutor
3220 Views

Describe the 3 types of solution to a quadratic equation

The behaviour of the solution depends on the value of the discriminant, D = b 2 – 4 ac, (aptly named as it allows you to discriminate between solutions) If D > 0: The equation has real roots (the parabola...
GL
Answered by George L. • Maths tutor
3853 Views

For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1

(I assume I can use the whiteboard in an actual lesson/interview) So this question might seem quite simple, and maybe it is, but this type of question can catch many students out. The first step is always to...
NH
Answered by Nabeel H. • Maths tutor
3974 Views

A curve has equation y= e^x -5x, Find the coordinates of the stationary point and show it is a minimum point

differentiating e x gives e x (need to know this), differentiating -5x gives -5 (step the power of the x down by 1 and multiply the original power with the coefficient, power of the x was 1 so becomes 0, x 0...
JC
Answered by James C. • Maths tutor
9118 Views

How do I find the angle between a vector and a plane in cartesian form?

First of all, you should find the angle between the vector and the normal of the plane using the rule cosX= a . b /mod a mod b . The normal can be found easily from the cartesian equation of the plane. For e...
ES
Answered by Esme S. • Maths tutor
4455 Views