Solve 2991*29x96/54844858

$$2991 \times 29x \frac{ 96 }{ 54844858 }$$

Evaluate

$$\frac{143568x}{945601}$$

Solution Steps

Multiply 2991 and 29 to get 86739.

$$86739x\times \frac{96}{54844858}$$

Reduce the fraction \frac{96}{54844858} to lowest terms by extracting and canceling out 2.

$$86739x\times \frac{48}{27422429}$$

Express 86739\times \frac{48}{27422429} as a single fraction.

$$\frac{86739\times 48}{27422429}x$$

Multiply 86739 and 48 to get 4163472.

$$\frac{4163472}{27422429}x$$

Reduce the fraction \frac{4163472}{27422429} to lowest terms by extracting and canceling out 29.

$$\frac{143568}{945601}x$$

Differentiate w.r.t. x

$$\frac{143568}{945601} = 0.15182725060569943$$

Steps Using Definition of a Derivative

Multiply 2991 and 29 to get 86739.

$$\frac{\mathrm{d}}{\mathrm{d}x}(86739x\times \frac{96}{54844858})$$

Reduce the fraction \frac{96}{54844858} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(86739x\times \frac{48}{27422429})$$

Express 86739\times \frac{48}{27422429} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{86739\times 48}{27422429}x)$$

Multiply 86739 and 48 to get 4163472.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4163472}{27422429}x)$$

Reduce the fraction \frac{4163472}{27422429} to lowest terms by extracting and canceling out 29.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{143568}{945601}x)$$

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

$$\frac{143568}{945601}x^{1-1}$$

Subtract 1 from 1.

$$\frac{143568}{945601}x^{0}$$

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

$$\frac{143568}{945601}\times 1$$

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

$$\frac{143568}{945601}$$