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What is d/dx (c), where c is a constant?
0

What is d/dx (c), where c is a constant?
1

What is d/dx (x^{n})?
nx^{n1}

What is d/dx [f(x) + g(x)]?
f'(x) + g'(x)

What is d/dx [f(x)g(x)]?
f'(x)  g'(x)

What is d/dx [f(x)g(x)]?
f(x)g'(x) + g(x)f'(x)

What is d/dx [f(x)/g(x)]
[g(x)f'(x)  f(x)g'(x)] / [g(x)]^{2}

What is d/dx [f(x)]^{n}?
n[f(x)]^{n1}[f'(x)]

