Solve 983xx*5=

$$983xx \times 5=$$

Evaluate

$$4915x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$983x^{2}\times 5$$

Multiply 983 and 5 to get 4915.

$$4915x^{2}$$

Differentiate w.r.t. x

$$9830x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(983x^{2}\times 5)$$

Multiply 983 and 5 to get 4915.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4915x^{2})$$

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

$$2\times 4915x^{2-1}$$

Multiply 2 times 4915.

$$9830x^{2-1}$$

Subtract 1 from 2.

$$9830x^{1}$$

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

$$9830x$$