If you mean x squared + 9, you differentiate this as follows:
Use the differentiation formula for a power, to differentiate the x squared.
Separately, use the differentiation formula for a constant, to differentiate the 9.
Finally, use the differentiation formula for a sum to add up the parts.
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d/dx[sin(4x)] = sin(4x) ======
d/dx(x + 2) = d/dx(x) + d/dx(2) = 1 + 0 = 1
I assume you are asking about using differentiation. In this case, where dy-by-dx=0, there is a stationary point on the graph i.e. where the gradient is equal to 0.
Calculate dx when xy3 + y = 3x.
Use the "chain rule" of differentiation: y=exp(exp(x)) taking ln both side in y=e x (1/y)dy/dx=e x dy/dx=y*e x dy/dx=exp(x+exp(x))