Solve 155/3622x*562

$$\frac{ 155 }{ 3622 } x \times 562$$

Evaluate

$$\frac{43555x}{1811}$$

Solution Steps

Express \frac{155}{3622}\times 562 as a single fraction.

$$\frac{155\times 562}{3622}x$$

Multiply 155 and 562 to get 87110.

$$\frac{87110}{3622}x$$

Reduce the fraction \frac{87110}{3622} to lowest terms by extracting and canceling out 2.

$$\frac{43555}{1811}x$$

Differentiate w.r.t. x

$$\frac{43555}{1811} = 24\frac{91}{1811} = 24.05024848150193$$

Steps Using Definition of a Derivative

Express \frac{155}{3622}\times 562 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{155\times 562}{3622}x)$$

Multiply 155 and 562 to get 87110.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{87110}{3622}x)$$

Reduce the fraction \frac{87110}{3622} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{43555}{1811}x)$$

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

$$\frac{43555}{1811}x^{1-1}$$

Subtract 1 from 1.

$$\frac{43555}{1811}x^{0}$$

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

$$\frac{43555}{1811}\times 1$$

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

$$\frac{43555}{1811}$$