Solve x^2+2^4+5^1

$$x ^ { 2 } + 2 ^ { 4 } + 5 ^ { 1 }$$

Evaluate

$$x^{2}+21$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$x^{2}+16+5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$x^{2}+16+5$$

Add 16 and 5 to get 21.

$$x^{2}+21$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 4 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+16+5^{1})$$

Calculate 5 to the power of 1 and get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+16+5)$$

Add 16 and 5 to get 21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+21)$$

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}.

$$2x^{2-1}$$

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$