Solve 7*x*4*5

$$7 \times x \times 4 \times 5$$

Evaluate

$$140x$$

Solution Steps

Multiply 7 and 4 to get 28.

$$28x\times 5$$

Multiply 28 and 5 to get 140.

$$140x$$

Differentiate w.r.t. x

$$140$$

Steps Using Definition of a Derivative

Multiply 7 and 4 to get 28.

$$\frac{\mathrm{d}}{\mathrm{d}x}(28x\times 5)$$

Multiply 28 and 5 to get 140.

$$\frac{\mathrm{d}}{\mathrm{d}x}(140x)$$

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

$$140x^{1-1}$$

Subtract 1 from 1.

$$140x^{0}$$

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

$$140\times 1$$

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

$$140$$