Cálculo Ejemplos

$f (x) = \frac{0.64 t - 18.99}{0.00054 t^{2} - 0.04594 t + 1}$

Paso 1

Factoriza $0.01$ de $0.64 t - 18.99$ .

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Paso 1.1

Factoriza $0.01$ de $0.64 t$ .

$\frac{d}{d x} [\frac{0.01 (64 t) - 18.99}{0.00054 t^{2} - 0.04594 t + 1}]$

Paso 1.2

Factoriza $0.01$ de $- 18.99$ .

$\frac{d}{d x} [\frac{0.01 (64 t) + 0.01 (- 1899)}{0.00054 t^{2} - 0.04594 t + 1}]$

Paso 1.3

Factoriza $0.01$ de $0.01 (64 t) + 0.01 (- 1899)$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00054 t^{2} - 0.04594 t + 1}]$

Paso 2

Factoriza $0.00002$ de $0.00054 t^{2} - 0.04594 t + 1$ .

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Paso 2.1

Factoriza $0.00002$ de $0.00054 t^{2}$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00002 (27 t^{2}) - 0.04594 t + 1}]$

Paso 2.2

Factoriza $0.00002$ de $- 0.04594 t$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00002 (27 t^{2}) + 0.00002 (- 2297 t) + 1}]$

Paso 2.3

Factoriza $0.00002$ de $1$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00002 (27 t^{2}) + 0.00002 (- 2297 t) + 0.00002 (50000)}]$

Paso 2.4

Factoriza $0.00002$ de $0.00002 (27 t^{2}) + 0.00002 (- 2297 t)$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00002 (27 t^{2} - 2297 t) + 0.00002 (50000)}]$

Paso 2.5

Factoriza $0.00002$ de $0.00002 (27 t^{2} - 2297 t) + 0.00002 (50000)$ .

$\frac{d}{d x} [\frac{0.01 (64 t - 1899)}{0.00002 (27 t^{2} - 2297 t + 50000)}]$

Paso 3

Separa las fracciones.

$\frac{d}{d x} [\frac{0.01}{0.00002} \cdot \frac{64 t - 1899}{27 t^{2} - 2297 t + 50000}]$

Paso 4

Combina fracciones.

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Paso 4.1

Divide $0.01$ por $0.00002$ .

$\frac{d}{d x} [500 \frac{64 t - 1899}{27 t^{2} - 2297 t + 50000}]$

Paso 4.2

Combina $500$ y $\frac{64 t - 1899}{27 t^{2} - 2297 t + 50000}$ .

$\frac{d}{d x} [\frac{500 (64 t - 1899)}{27 t^{2} - 2297 t + 50000}]$

Paso 5

Como $\frac{500 (64 t - 1899)}{27 t^{2} - 2297 t + 50000}$ es constante con respecto a $x$ , la derivada de $\frac{500 (64 t - 1899)}{27 t^{2} - 2297 t + 50000}$ con respecto a $x$ es $0$ .

$0$