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Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .

Due to the fact that the two 'x' in the question do not have a power (Are not squared or cubed) they can be added. Thus:4x = 12Then we want to find 'x' so we isolate it in the equation. To do this, we nee...

When either adding or subtracting fractions from one another, the denominators have to be the same. Find the lowest common multiple;3*4 = 12then because you multiplied 3 and 4, you also have to multiply t...

Firstly we need to find the stationary point on the curve. We know what at a stationary point the gradient is zero so we will find the gradient of the curve. We do this by differentiation, when we have di...

There are many options, but substitution is the one we will go through for this example first. Lets say you have 3x+4y = 10 and x+2y = 6In this case substitution would be easiest because you have a singul...