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Solusi - Derivatif

3nxn-1
3 n x^{n - 1}

Cara Lain untuk Mengatasinya

Derivatif

Penjelasan langkah demi langkah

1. Selesaikan turunan

Menerapkan aturan perkalian turunan.

ddx[3xn]=ddx[3]×xn+3×ddx[xn]

Turunan dari sebuah nilai konstan selalu nol.

ddx[3]×xn+3×ddx[xn]=0xn+3×ddx[xn]

Mengalikan sebuah angka dengan nol selalu menghasilkan nol.

0xn+3×ddx[xn]=0+3×ddx[xn]

Menambahkan nol ke sebuah angka, yang tidak mengubah nilai angka tersebut.

0+3×ddx[xn]=3×ddx[xn]

Menghitung turunan dari x dipangkatkan dengan n.

3×ddx[xn]=3×(nxn-1)

Menyederhanakan ekspresi aritmatika.

3×(nxn-1)=3nxn-1

Alasan mempelajari materi ini

Ever wondered how to predict the future? Derivatives are your crystal ball!

Picture this: You're a surfer trying to catch the biggest wave. How do you know when it's coming? Derivatives can tell you when it's at its highest point!

Rocket Science: Planning to launch a rocket to Mars? Derivatives tell us the optimal fuel burn rate to minimize fuel consumption and maximize distance!

Stock Market: Trading in the stock market? Derivatives can indicate the rate at which stock prices are changing, helping predict the best time to buy or sell.

Animation: Love animated movies? Artists use derivatives to smoothly change the motion and expressions of characters, making them feel more lifelike.

Engineering: Designing a bridge or a skyscraper? Derivatives help determine the rates of stress and strain changes in materials, ensuring the safety of your structures.

In short, derivatives are like a secret code to understanding change and making predictions in real life. So let's crack this code together and become masters of our futures!

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