Solve 50*x-{(e)^00288*x}

$$50 \times x- {(e)^{ 00288 \times x }}$$

Evaluate

$$50x-1$$

Solution Steps

Multiply 0 and 0 to get 0.

$$50x-e^{0\times 288x}$$

Multiply 0 and 288 to get 0.

$$50x-e^{0x}$$

Anything times zero gives zero.

$$50x-e^{0}$$

Calculate e to the power of 0 and get 1.

$$50x-1$$

Differentiate w.r.t. x

$$50$$

Steps Using Derivative Rule for Sum

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x-e^{0\times 288x})$$

Multiply 0 and 288 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x-e^{0x})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x-e^{0})$$

Calculate e to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(50x-1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$50x^{1-1}$$

Subtract 1 from 1.

$$50x^{0}$$

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

$$50\times 1$$

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

$$50$$