-4/x2
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Following the correct order of operations: derivative of x^2 + 6/2 = derivative of x^2 +3, which equals 2x
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
If f(x)=1/x then F(x)=antiderivative of f(x)=ln(|x|) (the natural log of the absolute value of x) There's another way of reading this question. The anti derivative of 1 is x+c. Dividing that by x gives you 1 + c/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).