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Find d/dx (ln(2x^3+x+8))

Use the chain rule: dy/dx = dy/du * du/dx Let y = ln(2x^3+x+8)Let u = 2x^3+x+8 dy/dx = d/dx (ln(2x^3+x+8)) = dy/du * du/dx dy/du = 1/udu/dx = 6x^2 + 1 dy/dx = 1/u * (6x^2 + 1) = (1/(2x^3+x+8)) * (6x^2 + 1) =...
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What are 3 Muslim teachings regarding divorce?

Muslims believe marriage is a contract which cannot be broken. It is seen as a last resort. Both men and women can request divorce.
Answered by • Religious Studies tutor
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How to solve a standard first order differential equation?

First we must ensure that the differential is i the standard form of y' + p(x) y = f(x)The we use the integration factor I(x) = e to the integral of p(x)we then realise that if we differentiate this we will ...
JB
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What is the Pythagoras’ theorem and how can it be used to work out the distance between two points?

Pythagoras’ theorem is the formula used to calculate any side of a right-angled triangle. The concept is that the square of the hypotenuse is equal to the sum of the squares on the other two sides. Assigning...
SW
Answered by Samuel W. • Maths tutor
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Use integration by parts to find ∫x e^(x)

So to integrate this function we would need to use a method called Integration by parts that you may have come across in your studies. This is where we separate the function into two parts to make it easier ...
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