Solve x^4-7*16^2

$$x ^ { 4 } - 7 \cdot 16 ^ { 2 }$$

Evaluate

$$x^{4}-1792$$

Solution Steps

Calculate 16 to the power of 2 and get 256.

$$x^{4}-7\times 256$$

Multiply 7 and 256 to get 1792.

$$x^{4}-1792$$

Differentiate w.r.t. x

$$4x^{3}$$

Steps Using Derivative Rule for Sum

Calculate 16 to the power of 2 and get 256.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-7\times 256)$$

Multiply 7 and 256 to get 1792.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-1792)$$

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}.

$$4x^{4-1}$$

Subtract 1 from 4.

$$4x^{3}$$