Solve 58411^2x+55^2

$${ 58411 }^{ 2 } x+ { 55 }^{ 2 }$$

Evaluate

$$3411844921x+3025$$

Solution Steps

Calculate 58411 to the power of 2 and get 3411844921.

$$3411844921x+55^{2}$$

Calculate 55 to the power of 2 and get 3025.

$$3411844921x+3025$$

Differentiate w.r.t. x

$$3411844921$$

Steps Using Derivative Rule for Sum

Calculate 58411 to the power of 2 and get 3411844921.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3411844921x+55^{2})$$

Calculate 55 to the power of 2 and get 3025.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3411844921x+3025)$$

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}.

$$3411844921x^{1-1}$$

Subtract 1 from 1.

$$3411844921x^{0}$$

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

$$3411844921\times 1$$

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

$$3411844921$$