Solve 3x+4*5x

$$3 x + 4 \cdot 5 x$$

Evaluate

$$23x$$

Solution Steps

Multiply 4 and 5 to get 20.

$$3x+20x$$

Combine 3x and 20x to get 23x.

$$23x$$

Differentiate w.r.t. x

$$23$$

Steps Using Definition of a Derivative

Multiply 4 and 5 to get 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+20x)$$

Combine 3x and 20x to get 23x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23x)$$

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

$$23x^{1-1}$$

Subtract 1 from 1.

$$23x^{0}$$

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

$$23\times 1$$

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

$$23$$