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1/2 e^x (sin x -cos x)

Firstly, the quadratic formula finds the roots of a quadratic equation. 
So this means f(x) = 0. A general polynomial with highest power 2 looks like: ax² + bx +c.
Usings the two fa...

You should write a^x as (e^lna)^x = e^xlna . ln(a) is a constant, so use the chain rule to differentiate this: lna(e^xlna) = lna(a^x)

a x b = 8i + 24j - 42k

Here, we are asked to differentiate with respect to x. That is what dy/dx stands for. So, we are only concerned with the terms involving x; that is x^3 and 2x. To differentiate you need to time x (and its...