Solve 30x(-48)+(-48)x(70)

$$30 x ( - 48 ) + ( - 48 ) x ( 70 )$$

Evaluate

$$-4800x$$

Solution Steps

Multiply 30 and -48 to get -1440.

$$-1440x-48x\times 70$$

Multiply -48 and 70 to get -3360.

$$-1440x-3360x$$

Combine -1440x and -3360x to get -4800x.

$$-4800x$$

Differentiate w.r.t. x

$$-4800$$

Steps Using Definition of a Derivative

Multiply 30 and -48 to get -1440.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1440x-48x\times 70)$$

Multiply -48 and 70 to get -3360.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1440x-3360x)$$

Combine -1440x and -3360x to get -4800x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4800x)$$

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

$$-4800x^{1-1}$$

Subtract 1 from 1.

$$-4800x^{0}$$

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

$$-4800$$