Solve -0.007*x^2+1.3*x^2

$$-0.007 \times { x }^{ 2 } +1.3 \times { x }^{ 2 }$$

Differentiate w.r.t. x

$$\frac{1293x}{500}$$

Steps Using Definition of a Derivative

Combine -0.007x^{2} and 1.3x^{2} to get 1.293x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.293x^{2})$$

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

$$2\times 1.293x^{2-1}$$

Multiply 2 times 1.293.

$$2.586x^{2-1}$$

Subtract 1 from 2.

$$2.586x^{1}$$

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

$$2.586x$$

Evaluate

$$\frac{1293x^{2}}{1000}$$

Solution Steps

Combine -0.007x^{2} and 1.3x^{2} to get 1.293x^{2}.

$$1.293x^{2}$$