The derivative with respect to x of any term in this format:
axn
is equal to:
nax(n -1)
so in the case of x2, the answer will be:
2x(2 - 1)
= 2x1
= 2x
7
Say y = x2 y is the dependent variable, x is the independent variable.
Differentiate term by term. d/dx[X2 + 2X) = 2X + 2 slope(m) = 2 ------------------
y = x2 + 3/sqrt(x) = x2 + 3*x-1/2 dy/dx = 2x + 3*(-1/2)*x-3/2 = 2x - 3/2*x-3/2
x2 + x2 + x2 = (1 + 1 + 1)x2 = 3x2
The GCF is x2.
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x2 + x2 = 2x2
x2 + x2 = 2x2
If you mean: y = x - a/x Then: y = x - ax-1 y' = 1 + ax-2 y' = 1 + a/x2 If you mean: y = (x - a)/x Then: y = 1 - ax-1 y' = ax-2 y' = a/x2
The answer would be 3x if 'X2' is '2x', but if 'X2' is x2, then the total answer would be x2 + x.
3x4 plus 5x3 plus x2 - 5 divided by x 2 =[(3x4) + (5x3) + (x2 - 5)]/x2 =(12 + 15 + x2 -5)/x2 =(27 - 5 + x2)/x2 =(22 + x2)/x2