Solve 5quad6quad10quad17quad27quadx

$$5 \quad 6 \quad 10 \quad 17 \quad 27 \quad x$$

Evaluate

$$137700x$$

Solution Steps

Multiply 5 and 6 to get 30.

$$30\times 10\times 17\times 27x$$

Multiply 30 and 10 to get 300.

$$300\times 17\times 27x$$

Multiply 300 and 17 to get 5100.

$$5100\times 27x$$

Multiply 5100 and 27 to get 137700.

$$137700x$$

Differentiate w.r.t. x

$$137700$$

Steps Using Definition of a Derivative

Multiply 5 and 6 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30\times 10\times 17\times 27x)$$

Multiply 30 and 10 to get 300.

$$\frac{\mathrm{d}}{\mathrm{d}x}(300\times 17\times 27x)$$

Multiply 300 and 17 to get 5100.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5100\times 27x)$$

Multiply 5100 and 27 to get 137700.

$$\frac{\mathrm{d}}{\mathrm{d}x}(137700x)$$

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

$$137700x^{1-1}$$

Subtract 1 from 1.

$$137700x^{0}$$

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

$$137700\times 1$$

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

$$137700$$