Solve fcos^-1(-0.26)?

$$f \cos ^ { - 1 } ( - 0.26 ) ?$$

Evaluate

$$\frac{10000000000000000f}{9999897039488793}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$f 0.9999897039488793 ^ {-1}$$

Calculate 0.9999897039488793 to the power of -1 and get \frac{10000000000000000}{9999897039488793}.

$$f\times \frac{10000000000000000}{9999897039488793}$$

Differentiate w.r.t. f

$$\frac{10000000000000000}{9999897039488793} = 1\frac{102960511208}{9999897039488792} = 1.0000102961571307$$

Steps Using Definition of a Derivative

Evaluate trigonometric functions in the problem

$$f 0.9999897039488793 ^ {-1}$$

Calculate 0.9999897039488793 to the power of -1 and get \frac{10000000000000000}{9999897039488793}.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times \frac{10000000000000000}{9999897039488793})$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{10000000000000000}{9999897039488793}f^{1-1}$$

Subtract 1 from 1.

$$\frac{10000000000000000}{9999897039488793}f^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{10000000000000000}{9999897039488793}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{10000000000000000}{9999897039488793}$$