Cálculo Exemplos

$f (x) = \frac{\cos (2 x) - \cos (x)}{x^{2}}$ , $f (0.01)$

Etapa 1

Substitua a variável $x$ por $0.01$ na expressão.

$f (0.01) = \frac{\cos (2 (0.01)) - \cos (0.01)}{{(0.01)}^{2}}$

Etapa 2

Simplifique $\frac{\cos (2 (0.01)) - \cos (0.01)}{{(0.01)}^{2}}$ .

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Etapa 2.1

Remova os parênteses.

$\frac{\cos (2 (0.01)) - \cos (0.01)}{{(0.01)}^{2}}$

Etapa 2.2

Multiplique $2$ por $0.01$ .

$\frac{\cos (0.02) - \cos (0.01)}{{0.01}^{2}}$

Etapa 2.3

Eleve $0.01$ à potência de $2$ .

$\frac{\cos (0.02) - \cos (0.01)}{0.0001}$

Etapa 2.4

Avalie $\cos (0.02)$ .

$\frac{0.9998 - \cos (0.01)}{0.0001}$

Etapa 2.5

Avalie $\cos (0.01)$ .

$\frac{0.9998 - 1 \cdot 0.99999998}{0.0001}$

Etapa 2.6

Multiplique $- 1$ por $0.99999998$ .

$\frac{0.9998 - 0.99999998}{0.0001}$

Etapa 2.7

Subtraia $0.99999998$ de $0.9998$ .

$\frac{- 0.00019997}{0.0001}$

Etapa 2.8

Divida $- 0.00019997$ por $0.0001$ .

$- 1.99978102$