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To differentiate Xa, where a is any real number, you multiply X by a, and subtract 1 from the power.i.e. d(Xa)/dX=aXa-1
x2 + y2 + 10x + 2y - 4xy = 10 Start by differentiating both sides by x, the terms not containing y are differentiated normally, x2 becomes 2x, 10x becomes ...
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...
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