Solve x44211.2cos(31322.1)

$$x44211.2 \cos ( 31322.1 )$$

Evaluate

$$\frac{4996641968893279x_{44211}}{25000000000000000}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$x 44211.2 \cdot 0.9993283937786558$$

Multiply 0.2 and 0.9993283937786558 to get 0.19986567875573116.

$$x_{44211}\times 0.19986567875573116$$

Differentiate w.r.t. x_44211

$$0.19986567875573116$$

Steps Using Definition of a Derivative

Evaluate trigonometric functions in the problem

$$x 44211.2 \cdot 0.9993283937786558$$

Multiply 0.2 and 0.9993283937786558 to get 0.19986567875573116.

$$\frac{\mathrm{d}}{\mathrm{d}x_{44211}}(x_{44211}\times 0.19986567875573116)$$

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

$$0.19986567875573116x_{44211}^{1-1}$$

Subtract 1 from 1.

$$0.19986567875573116x_{44211}^{0}$$

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

$$0.19986567875573116\times 1$$

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

$$0.19986567875573116$$