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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

I've always thought that physics is best explained through analogies, and so instead of two resistors we'll imagine two people (our resistors) in Yo Sushi (where plates of sushi represent our voltage). Sa...

Firstly, we should understand that there are several future tenses in French - just like in English, although you may not have noticed that before. "I will", "I am going to", "I w...

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...