Derivative of b^x
b^x ln(b)
The derivative of b^x, where b is a constant and x is a variable, can be found using the chain rule. The chain rule states that the derivative of the composite function f(g(x)) is given by f'(g(x)) * g'(x), where f'(x) is the derivative of the outer function f and g'(x) is the derivative of the inner function g.
In this case, let f(x) = b^x and g(x) = x. Then the derivative of b^x can be written as:
f'(g(x)) * g'(x) = b^x * ln(b)
where ln(b) is the natural logarithm of b.
Therefore, the derivative of b^x is b^x * ln(b).
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