Solve 7x+2x+2^2+5^2

$$7x+2x+ { 2 }^{ 2 } + { 5 }^{ 2 }$$

Evaluate

$$9x+29$$

Solution Steps

Combine 7x and 2x to get 9x.

$$9x+2^{2}+5^{2}$$

Calculate 2 to the power of 2 and get 4.

$$9x+4+5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$9x+4+25$$

Add 4 and 25 to get 29.

$$9x+29$$

Differentiate w.r.t. x

$$9$$

Steps Using Derivative Rule for Sum

Combine 7x and 2x to get 9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+2^{2}+5^{2})$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+4+5^{2})$$

Calculate 5 to the power of 2 and get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+4+25)$$

Add 4 and 25 to get 29.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+29)$$

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}.

$$9x^{1-1}$$

Subtract 1 from 1.

$$9x^{0}$$

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

$$9\times 1$$

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

$$9$$