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For this question the chain rule should be used, the chain rule is that dy/du*du/dx=dy/dx. If we say u=(x 2 +2x) and therefore y=e u Then du/dx=2x+2 and dy/du=e u. Then dy/du*du/dx= (2x+2)e u , then we can s...

We can differentiate this implicitly by writing the question as:y = 2 x Then we take the log of both sides:ln(y) = ln(2 x )Using the rules of logartithms this can be written as:ln(y) = x ln(2)Now we can diff...

to differentiate this equation we have to do it in two parts because there is a minus sign seperating them in the middle for the first part we first have to multiple the constant by what the power of x is wh...

First of all you need to separate the two numbers you have 8Y and 4y2 then ask yourself what you can divide both these 2 numbers with? so 4 can be divided by 4 and 8 can be divided by 4. so we can divide bot...

If you imagine that sin(x), cos(x), -sin(x) and -cos(x) are on a wheel as shown below: sin(x) -cos(x) cos(x) -sin(x) then going clockwise around the wheel you have what each term differentiates to, so sin(x)...