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Maths
A Level

Find the stationary point of the curve y = -2x^2 + 4x.

Firstly, since we have a negative coefficient of x^2, we know we are looking for a maximum point. It is also always helpful to draw a sketch so you know what's going on. Whiteboard sketch. Now to...

Answered by Luke J. • Maths tutor
5246 Views

The Curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx.

The question is asking us to differentiate the equation y = 3x^4 - 8x^3 - 3. To differentiate this equation, we must differentiate term-by-term. In order to differentiate a term, we must multiply the coef...

Answered by Dharmik C. • Maths tutor
5630 Views

Proof by Induction - "What's the point if we already know the answer?"

I'll try to use carefully chosen examples to explain the advantages/disadvantages of induction as a method of proof. My answer will go roughly as follows:
Advantages: Sometimes the only

Answered by Ruben H. • Maths tutor
3817 Views

Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.

To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x2 differentiated is 2 x 4x2-1 = ...

Answered by Dominic M. • Maths tutor
3326 Views

What the integral of e^2x*x? (limits 0,1)

Whenever you see an integral with a product as the integrand, check if integration by parts works.
That is,
Int(v(x)*u'(x)) = u(x)v(x)-int(u(x)v'(x))
So you should see that its easier ...

Answered by Oliver O. • Maths tutor
3436 Views

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