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How do I differentiate something of the form a^x?

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 )
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Answered by Ilya S. • Maths tutor
5037 Views

Find the cross product of vectors a and b ( a x b ) where a = 3i + 6j + 4k and b = 6i - 2j + 0k.

a x b = 8i + 24j - 42k
ID
Answered by Isaac D. • Maths tutor
4610 Views

How does a potential divider work?

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). Say t...
AJ
Answered by Adi J. • Physics tutor
3892 Views

A curve has the equation y=x^3+2x+15. Find dy/dx.

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 co...
ZA
Answered by Zein A. • Maths tutor
3945 Views

Find the value of x if the following is true: 3(x – 2) < 8 – 2x

So our first priority is to get all the Xs onto on side and add them together. But we cant do that just yet because of 3(x-2). so lets move all X values to the left of the equation 3(x-2) + 2x &lt; 8 (Notice...
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Answered by Peter D. • Maths tutor
4796 Views