Solve -0007*x^2+13*x^2

$$-0007 \times { x }^{ 2 } +13 \times { x }^{ 2 }$$

Evaluate

$$13x^{2}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 0\times 7x^{2}+13x^{2}$$

Multiply 0 and 0 to get 0.

$$0\times 7x^{2}+13x^{2}$$

Multiply 0 and 7 to get 0.

$$0x^{2}+13x^{2}$$

Anything times zero gives zero.

$$0+13x^{2}$$

Anything plus zero gives itself.

$$13x^{2}$$

Differentiate w.r.t. x

$$26x$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 0\times 7x^{2}+13x^{2})$$

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0\times 7x^{2}+13x^{2})$$

Multiply 0 and 7 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0x^{2}+13x^{2})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0+13x^{2})$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x^{2})$$

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

$$2\times 13x^{2-1}$$

Multiply 2 times 13.

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

Subtract 1 from 2.

$$26x^{1}$$

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

$$26x$$