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If you have a differentiable function, stationary points are, by definition, those points where the derivative of the function is 0. Considering that the derivative of a function represents the rate of incre...

Let's look at the function y = 3x^2 + 6x + 3. Differentiating it gives us the derivative of y: dy/dx = 6x + 6. The original function has three terms. Let's look at each term: 3x^2 (^2 means to the power of 2...

∫(8x3 + 4) dx = (8x^4)/4 + 4x + c= 2x^4 + 4x + c

a) Draw graph and find points of intersection (will be done on whiteboard). b) Sum equations to get 7x=7, so x=1 and y=1.

We know that tan x =sin x/cos x, so we can multiply the whole equation by cos x which gives us => 2cos^2 x =3 sin x from the trig identity sin^2 (x)+ cos^2 (x)=1, we can sub in cos^2 (x)=1-sin^2(x) => ...