Calculus Examples

$C = 0.001 x^{3} + 9 x + 250$

Step 1

This derivative could not be completed using the chain rule. Mathway will use another method.

Step 2

By the Sum Rule, the derivative of $0.001 x^{3} + 9 x + 250$ with respect to $C$ is $\frac{d}{d C} [0.001 x^{3}] + \frac{d}{d C} [9 x] + \frac{d}{d C} [250]$ .

$\frac{d}{d C} [0.001 x^{3}] + \frac{d}{d C} [9 x] + \frac{d}{d C} [250]$

Step 3

Since $0.001 x^{3}$ is constant with respect to $C$ , the derivative of $0.001 x^{3}$ with respect to $C$ is $0$ .

$0 + \frac{d}{d C} [9 x] + \frac{d}{d C} [250]$

Step 4

Since $9 x$ is constant with respect to $C$ , the derivative of $9 x$ with respect to $C$ is $0$ .

$0 + 0 + \frac{d}{d C} [250]$

Step 5

Since $250$ is constant with respect to $C$ , the derivative of $250$ with respect to $C$ is $0$ .

$0 + 0 + 0$

Step 6

Combine terms.

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Step 6.1

Add $0$ and $0$ .

$0 + 0$

Step 6.2

Add $0$ and $0$ .

$0$