Solve 48*3(x*987)89

$$48 \times 3(x \times 987)89$$

Evaluate

$$12649392x$$

Solution Steps

Multiply 48 and 3 to get 144.

$$144x\times 987\times 89$$

Multiply 144 and 987 to get 142128.

$$142128x\times 89$$

Multiply 142128 and 89 to get 12649392.

$$12649392x$$

Differentiate w.r.t. x

$$12649392$$

Steps Using Definition of a Derivative

Multiply 48 and 3 to get 144.

$$\frac{\mathrm{d}}{\mathrm{d}x}(144x\times 987\times 89)$$

Multiply 144 and 987 to get 142128.

$$\frac{\mathrm{d}}{\mathrm{d}x}(142128x\times 89)$$

Multiply 142128 and 89 to get 12649392.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12649392x)$$

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

$$12649392x^{1-1}$$

Subtract 1 from 1.

$$12649392x^{0}$$

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

$$12649392\times 1$$

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

$$12649392$$