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Using first principles find the differential of x^2

Lim((f(x+h)-f(x)))/h= lim(((x+h)2 -x2)/h)=lim((h2 +2xh)/h) as h tends to 0 the limit becomes 2x

Answered by Maths tutor
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if f is defined on with f(x)=x^2-2x-24(x)^0.5 for x>=0 a) find 1st derivative of f, b) find second derivative of f, c) Verify that function f has a stationary point when x = 4 (c) Determine the type stationary point.

a) f'(x)=2x-2-12x1/2B)f'(x)=2+6x-3/2c)f'(4)=0d) local minimum

Answered by Maths tutor
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Simplify the equation 2x^3 . 3x^2

There are two parts to this expression, the coefficients and the powers of x, and they can be addressed separately.It's important to remember the rules of indices - am x an = am...

Answered by Tom L. Maths tutor
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How do i answer a problem solving question if I don't know where to start?

This is a very common question as many people tend to not know here to begin in regards to answering most problem solving questions generally. My advice would be to approach the question the way i would; ...

Answered by Elizabeth M. Maths tutor
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f(x) = (x + 1)^2 and g(x) = 2(x - 1) Show that gf(x) = 2x(x + 2)

For this question, as we are looking for gf(x) so we first need to plug in our formula for f(x) into the g(x) formula, giving us:
2((x+1)^2 - 1)
We can then expand our squared bracket to get:

Answered by Django M. Maths tutor
2310 Views

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