Solve 2x(+5)3

$$2x(+5)3$$

Evaluate

$$30x$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10x\times 3$$

Multiply 10 and 3 to get 30.

$$30x$$

Differentiate w.r.t. x

$$30$$

Steps Using Definition of a Derivative

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x\times 3)$$

Multiply 10 and 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x)$$

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

$$30x^{1-1}$$

Subtract 1 from 1.

$$30x^{0}$$

For any term t except 0, t^{0}=1.

$$30\times 1$$

For any term t, t\times 1=t and 1t=t.

$$30$$