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Turunan dari $$$a^{u}$$$ terhadap $$$u$$$
Kalkulator terkait: Kalkulator Diferensiasi Logaritmik, Kalkulator Diferensiasi Implisit dengan Langkah-langkah
Masukan Anda
Temukan $$$\frac{d}{du} \left(a^{u}\right)$$$.
Solusi
Terapkan aturan eksponen $$$\frac{d}{du} \left(n^{u}\right) = n^{u} \ln\left(n\right)$$$ dengan $$$n = a$$$:
$${\color{red}\left(\frac{d}{du} \left(a^{u}\right)\right)} = {\color{red}\left(a^{u} \ln\left(a\right)\right)}$$Dengan demikian, $$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$.
Jawaban
$$$\frac{d}{du} \left(a^{u}\right) = a^{u} \ln\left(a\right)$$$A
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