Solve 7412x55(14div95)=

$$7412x55(14 \div 95)=$$

Evaluate

$$\frac{103768x_{55}}{95}$$

Solution Steps

Express 7412\times \frac{14}{95} as a single fraction.

$$\frac{7412\times 14}{95}x_{55}$$

Multiply 7412 and 14 to get 103768.

$$\frac{103768}{95}x_{55}$$

Differentiate w.r.t. x_55

$$\frac{103768}{95} = 1092\frac{28}{95} = 1092.2947368421053$$

Steps Using Definition of a Derivative

Express 7412\times \frac{14}{95} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x_{55}}(\frac{7412\times 14}{95}x_{55})$$

Multiply 7412 and 14 to get 103768.

$$\frac{\mathrm{d}}{\mathrm{d}x_{55}}(\frac{103768}{95}x_{55})$$

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

$$\frac{103768}{95}x_{55}^{1-1}$$

Subtract 1 from 1.

$$\frac{103768}{95}x_{55}^{0}$$

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

$$\frac{103768}{95}\times 1$$

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

$$\frac{103768}{95}$$