Solve 3x^2+14x^2

$$3 x ^ { 2 } + 14 x ^ { 2 }$$

Differentiate w.r.t. x

$$34x$$

Steps Using Definition of a Derivative

Combine 3x^{2} and 14x^{2} to get 17x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17x^{2})$$

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

$$2\times 17x^{2-1}$$

Multiply 2 times 17.

$$34x^{2-1}$$

Subtract 1 from 2.

$$34x^{1}$$

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

$$34x$$

Evaluate

$$17x^{2}$$

Solution Steps

Combine 3x^{2} and 14x^{2} to get 17x^{2}.

$$17x^{2}$$