Solve x*3/95//

$$x \times \frac{ 3 }{ } \frac{ \frac{ 95 }{ } }{ }$$

Evaluate

$$285x$$

Solution Steps

Anything divided by one gives itself.

$$x\times 3\times \frac{\frac{95}{1}}{1}$$

Anything divided by one gives itself.

$$x\times 3\times \frac{95}{1}$$

Anything divided by one gives itself.

$$x\times 3\times 95$$

Multiply 3 and 95 to get 285.

$$x\times 285$$

Differentiate w.r.t. x

$$285$$

Steps Using Definition of a Derivative

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3\times \frac{\frac{95}{1}}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3\times \frac{95}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3\times 95)$$

Multiply 3 and 95 to get 285.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 285)$$

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

$$285x^{1-1}$$

Subtract 1 from 1.

$$285x^{0}$$

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

$$285\times 1$$

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

$$285$$