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How to Differentiate ln(ln x)?
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What is the derivative of ln(ln x)? This is a composite function. Supposed that we have ln x, but for now we have ln(ln x) instead. Therefore, solve this using Chain Rule Differentiation. First, differentiate the whole function. Then, multiply it by the derivative of the inner function.
Chain Rule of Logarithmic Derivative:
d/dx (ln f(x)) = (1 / f(x) ) * f'(x)
CHAIN RULE EXPLANATION VIDEO:
0:00 Introduction
0:19 Composite Function
0:57 Using Chain Rule
1:30 We did it!
#differentiation #chainrule #logarithm
Chain Rule of Logarithmic Derivative:
d/dx (ln f(x)) = (1 / f(x) ) * f'(x)
CHAIN RULE EXPLANATION VIDEO:
0:00 Introduction
0:19 Composite Function
0:57 Using Chain Rule
1:30 We did it!
#differentiation #chainrule #logarithm
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