Calculus Examples

$2 \cos (5) - 2 \sin (5)$

Step 1

Evaluate $\cos (5)$ .

$\frac{d}{d x} [2 \cdot 0.99619469 - 2 \sin (5)]$

Step 2

Evaluate $\sin (5)$ .

$\frac{d}{d x} [2 \cdot 0.99619469 - 2 \cdot 0.08715574]$

Step 3

By the Sum Rule, the derivative of $2 \cdot 0.99619469 - 2 \cdot 0.08715574$ with respect to $x$ is $\frac{d}{d x} [2 \cdot 0.99619469] + \frac{d}{d x} [- 2 \cdot 0.08715574]$ .

$\frac{d}{d x} [2 \cdot 0.99619469] + \frac{d}{d x} [- 2 \cdot 0.08715574]$

Step 4

Evaluate $\frac{d}{d x} [2 \cdot 0.99619469]$ .

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Step 4.1

Multiply $2$ by $0.99619469$ .

$\frac{d}{d x} [1.99238939] + \frac{d}{d x} [- 2 \cdot 0.08715574]$

Step 4.2

Since $1.99238939$ is constant with respect to $x$ , the derivative of $1.99238939$ with respect to $x$ is $0$ .

$0 + \frac{d}{d x} [- 2 \cdot 0.08715574]$

Step 5

Evaluate $\frac{d}{d x} [- 2 \cdot 0.08715574]$ .

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Step 5.1

Multiply $- 2$ by $0.08715574$ .

$0 + \frac{d}{d x} [- 0.17431148]$

Step 5.2

Since $- 0.17431148$ is constant with respect to $x$ , the derivative of $- 0.17431148$ with respect to $x$ is $0$ .

$0 + 0$

Step 6

Add $0$ and $0$ .

$0$