Differentiating Logarithmic Functions

Examples Example 1 Differentiate y = log4 (3m) Solution Method 1: Chain Rule The function y = log4 (3m) has inner function u = 3m and outer function y — To differentiate this composite function, we apply the chain rule dy dy du (3) u In(4) 3x(ln(4)) provided x > 0 x In(4) log4(u)_ The Derivative of Logarithmic Functions: f(x) loga (x) ................
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