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y = e2x(x2+1)5/2
The first step is to calculate dy/dx. We can do this by splitting y into two parts and using the chain rule of differentiation:
Recall that for two lines to be skew they must satisfy two conditions:
1) They must not be parallel.
2) They must not intersect.
We shall check each condition ...
The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equat...
To find the line's equation, you need the gradient and the y-intercept. The gradient is found using:
(y2-y1)/(x2-x1)
Or simply (change in y direction)/(change in x direction...
To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1
ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x
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