Solve 4x+7*3x

$$4x+7 \times 3x$$

Evaluate

$$25x$$

Solution Steps

Multiply 7 and 3 to get 21.

$$4x+21x$$

Combine 4x and 21x to get 25x.

$$25x$$

Differentiate w.r.t. x

$$25$$

Steps Using Definition of a Derivative

Multiply 7 and 3 to get 21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+21x)$$

Combine 4x and 21x to get 25x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x)$$

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

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$