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Derivative Rules

TermDefinition
The Constant Rule The derivative of a constant is always zero
The Power Rule d/dx [x^n] = nx^n-1
The Constant Multiple Rule If a function is multiplied by a constant, keep the constant and differentiate the function; d/dx [cf(x)] = cf'(x)
The Sum and Difference Rule You can differentiate each term separately; d/dx [f(x) ± g(x)] = f'(x) ± g'(x)
Sine Rule d/dx [sin x] = cos x
Cosine Rule d/dx [cos x] = -sin x
Tangent Trig Rule d/dx [tan x] = sec^2 x
Cotangent Rule d/dx [cot x] = csc^2 x
The Quotient Rule d/dx [f(x) / g(x)] = [f'(x)g(x) - g'(x)f(x)] / [g(x)]^2 OR d/dx [a / b] = a'b - b'a / b^2
Created by: oliver_g37
 

 



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