Solve 4+x^3+1^4

$$4 + x ^ { 3 } + 1 ^ { 4 }$$

Evaluate

$$x^{3}+5$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$4+x^{3}+1$$

Add 4 and 1 to get 5.

$$5+x^{3}$$

Differentiate w.r.t. x

$$3x^{2}$$

Steps Using Derivative Rule for Sum

Calculate 1 to the power of 4 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4+x^{3}+1)$$

Add 4 and 1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5+x^{3})$$

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}.

$$3x^{3-1}$$

Subtract 1 from 3.

$$3x^{2}$$