Solve 3w*167^2+401

$$3 w \times 167 ^ { 2 } + 401$$

Evaluate

$$83667w+401$$

Solution Steps

Calculate 167 to the power of 2 and get 27889.

$$3w\times 27889+401$$

Multiply 3 and 27889 to get 83667.

$$83667w+401$$

Differentiate w.r.t. w

$$83667$$

Steps Using Derivative Rule for Sum

Calculate 167 to the power of 2 and get 27889.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3w\times 27889+401)$$

Multiply 3 and 27889 to get 83667.

$$\frac{\mathrm{d}}{\mathrm{d}w}(83667w+401)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$83667w^{1-1}$$

Subtract 1 from 1.

$$83667w^{0}$$

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

$$83667\times 1$$

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

$$83667$$