Calculus Examples

$\frac{lim_{x \to 0} 5 \cos (0.01) - 5}{0.01}$

Step 1

Evaluate the limit of $5 \cos (0.01) - 5$ which is constant as $x$ approaches $0$ .

$\frac{5 \cos (0.01) - 5}{0.01}$

Step 2

Simplify the answer.

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Step 2.1

Evaluate $\cos (0.01)$ .

$\frac{5 \cdot 0.99999998 - 5}{0.01}$

Step 2.2

Multiply $5$ by $0.99999998$ .

$\frac{4.99999992 - 5}{0.01}$

Step 2.3

Subtract $5$ from $4.99999992$ .

$\frac{- 0.00000007}{0.01}$

Step 2.4

Divide $- 0.00000007$ by $0.01$ .

$- 0.00000761$