Solve c^2tan^-1(5/11)=?

$$c ^ { 2 } \tan ^ { - 1 } ( \frac { 5 } { 11 } ) = ?$$

Evaluate

$$\frac{500000000000000000c^{2}}{3966740610135847}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$c ^ {2} 0.007933481220271694 ^ {-1}$$

Calculate 0.007933481220271694 to the power of -1 and get \frac{500000000000000000}{3966740610135847}.

$$c^{2}\times \frac{500000000000000000}{3966740610135847}$$

Differentiate w.r.t. c

$$\frac{1000000000000000000c}{3966740610135847}$$

Steps Using Definition of a Derivative

Evaluate trigonometric functions in the problem

$$c ^ {2} 0.007933481220271694 ^ {-1}$$

Calculate 0.007933481220271694 to the power of -1 and get \frac{500000000000000000}{3966740610135847}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c^{2}\times \frac{500000000000000000}{3966740610135847})$$

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

$$2\times \frac{500000000000000000}{3966740610135847}c^{2-1}$$

Multiply 2 times \frac{500000000000000000}{3966740610135847}.

$$\frac{1000000000000000000}{3966740610135847}c^{2-1}$$

Subtract 1 from 2.

$$\frac{1000000000000000000}{3966740610135847}c^{1}$$

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

$$\frac{1000000000000000000}{3966740610135847}c$$