Solve 5(2x)+4(5x)

$$5 ( 2 x ) + 4 ( 5 x )$$

Evaluate

$$30x$$

Solution Steps

Multiply 5 and 2 to get 10. Multiply 4 and 5 to get 20.

$$10x+20x$$

Combine 10x and 20x to get 30x.

$$30x$$

Differentiate w.r.t. x

$$30$$

Steps Using Definition of a Derivative

Multiply 5 and 2 to get 10. Multiply 4 and 5 to get 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x+20x)$$

Combine 10x and 20x to get 30x.

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

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.

$$30$$