Solve (8psi2)*(8psi2)

$$( 8 \psi 2 ) \cdot ( 8 \psi 2 )$$

Evaluate

$$64\psi _{2}^{2}$$

Solution Steps

Multiply \psi _{2} and \psi _{2} to get \psi _{2}^{2}.

$$8\psi _{2}^{2}\times 8$$

Multiply 8 and 8 to get 64.

$$64\psi _{2}^{2}$$

Differentiate w.r.t. ψ_2

$$128\psi _{2}$$

Steps Using Definition of a Derivative

Multiply \psi _{2} and \psi _{2} to get \psi _{2}^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}\psi _{2}}(8\psi _{2}^{2}\times 8)$$

Multiply 8 and 8 to get 64.

$$\frac{\mathrm{d}}{\mathrm{d}\psi _{2}}(64\psi _{2}^{2})$$

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

$$2\times 64\psi _{2}^{2-1}$$

Multiply 2 times 64.

$$128\psi _{2}^{2-1}$$

Subtract 1 from 2.

$$128\psi _{2}^{1}$$

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

$$128\psi _{2}$$