Solve 8x^2+6x^2+12x^2

$$8 x ^ { 2 } + 6 x ^ { 2 } + 12 x ^ { 2 }$$

Evaluate

$$26x^{2}$$

Solution Steps

Combine 8x^{2} and 6x^{2} to get 14x^{2}.

$$14x^{2}+12x^{2}$$

Combine 14x^{2} and 12x^{2} to get 26x^{2}.

$$26x^{2}$$

Differentiate w.r.t. x

$$52x$$

Steps Using Definition of a Derivative

Combine 8x^{2} and 6x^{2} to get 14x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(14x^{2}+12x^{2})$$

Combine 14x^{2} and 12x^{2} to get 26x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(26x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 26x^{2-1}$$

Multiply 2 times 26.

$$52x^{2-1}$$

Subtract 1 from 2.

$$52x^{1}$$

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

$$52x$$