Solve 5h^2-2h^2

$$5 h ^ { 2 } - 2 h ^ { 2 }$$

Differentiate w.r.t. h

$$6h$$

Steps Using Definition of a Derivative

Combine 5h^{2} and -2h^{2} to get 3h^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}h}(3h^{2})$$

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

$$2\times 3h^{2-1}$$

Multiply 2 times 3.

$$6h^{2-1}$$

Subtract 1 from 2.

$$6h^{1}$$

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

$$6h$$

Evaluate

$$3h^{2}$$

Solution Steps

Combine 5h^{2} and -2h^{2} to get 3h^{2}.

$$3h^{2}$$