The derivative of tan(x) is sec2(x).
(Which is the same as 1/cos2(x).
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sec(x)tan(x)
d/dx[ tan-1(x) ] = 1/(1 + x2)
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
the derivative of ln x = x'/x; the derivative of 1 is 0 so the answer is 500(1/x)+0 = 500/x