Solusi - Derivatif

- \frac{351}{x^{40}}

- \frac{351}{x^{40}}

Lihat langkah

Penjelasan langkah demi langkah

1. Selesaikan turunan

Menghitung turunan dari sebuah pecahan.

$\frac{d}{d x} [\frac{9}{x^{39}}] = \frac{\frac{d}{d x} [9] \times x^{39} - 9 \times \frac{d}{d x} [x^{39}]}{{(x^{39})}^{2}}$

Turunan dari sebuah nilai konstan selalu nol.

$\frac{\frac{d}{d x} [9] \times x^{39} - 9 \times \frac{d}{d x} [x^{39}]}{{(x^{39})}^{2}} = \frac{0 x^{39} - 9 \times \frac{d}{d x} [x^{39}]}{{(x^{39})}^{2}}$

Menghitung turunan dari x dipangkatkan dengan n.

$\frac{0 x^{39} - 9 \times \frac{d}{d x} [x^{39}]}{{(x^{39})}^{2}} = \frac{0 x^{39} - 9 \times (39 x^{39 - 1})}{{(x^{39})}^{2}}$

Mengurangkan satu dari sebuah angka.

$\frac{0 x^{39} - 9 \times (39 x^{39 - 1})}{{(x^{39})}^{2}} = \frac{0 x^{39} - 9 \times (39 x^{38})}{{(x^{39})}^{2}}$

Mengalikan sebuah angka dengan nol selalu menghasilkan nol.

$\frac{0 x^{39} - 9 \times (39 x^{38})}{{(x^{39})}^{2}} = \frac{0 - 9 \times (39 x^{38})}{{(x^{39})}^{2}}$

Menyederhanakan ekspresi aritmatika.

$\frac{0 - 9 \times (39 x^{38})}{{(x^{39})}^{2}} = \frac{0 - 9 \times (39 x^{38})}{x^{78}}$

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

$\frac{0 - 9 \times (39 x^{38})}{x^{78}} = \frac{- 9 \times (39 x^{38})}{x^{78}}$

Menyederhanakan ekspresi aritmatika.

$\frac{- 9 \times (39 x^{38})}{x^{78}} = \frac{- 351 x^{38}}{x^{78}}$

Menyederhanakan ekspresi aritmatika.

$\frac{- 351 x^{38}}{x^{78}} = - \frac{351}{x^{40}}$

Bagaimana hasil kerja kita?

Berikan masukan

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!

Istilah dan topik

Derivative

Solusi - Derivatif

Penjelasan langkah demi langkah

1. Selesaikan turunan

Alasan mempelajari materi ini

Istilah dan topik

Tautan terkait

Latihan Terkait Terbaru Dipecahkan