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First of all, "second derivative", d²y/dx², is what you get when you differentiate the first derivative (dy/dx).

The second derivative can be used as an ea...

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this ...

The integration by parts rule looks like this:

∫ u * v' dx = u * v - ∫ ( v * u' ) dx

Hence in this example, we want to make our u = x and v' = sinx

So we now n...

We are looking for dy/dx, and in this question, the key rule to remember is the chain rule.

Therefore the first thing to do is the easy step, take the ³ down and minus 1 from i...

Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, ab = 1/2 =0.5 and a^2 ...