2024年12月16日 · 𝑑(log⁡𝑦)/𝑑𝑥 = 𝑑(cos⁡〖𝑥 .〖 log 〗⁡(log⁡𝑥 ) 〗 )/𝑑𝑥 𝑑(log⁡𝑦 )/𝑑𝑥 (𝑑𝑦/𝑑

You have a^b = c \iff b = \log_a(c). Use this to show that for any power r, \log_b(a^r) = r\log_b(a) for any base b.

导数计算工具使用象征性的求导功能，并显示每一步的解决方案。

You have a^b = c \iff b = \log_a(c). Use this to show that for any power r, \log_b(a^r) = r\log_b(a) for any base b.

Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = log(x) f (x) = log (x) and g(x) = cos(x) g (x) = cos (x). Tap for more …

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2022年6月4日 · The function log(cos x) denotes the logarithm of the cosine function. Here we will find the derivative of log(cos x) using the first principle of derivatives.

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Find the derivative with respect to x of the function (log cos x sin x) (log sin x cos x) − 1 + sin − 1 2 x 1 + x 2 at x = π 4

2024年12月16日 · 𝒕𝒂𝒏⁡〖𝒆^𝒙 〗 (𝐴𝑠 𝑑/𝑑𝑥 (𝑙𝑜𝑔⁡𝑥 )= 1/𝑥) (𝐴𝑠 𝑑/𝑑𝑦 (cos⁡𝑥 )=〖−sin〗⁡𝑥 ) Show More Chapter 5 Class 12 Continuity and Differentiability