Solve 5464/64827x+x/49

$$\frac{ 5464 }{ 64827 } x+ \frac{ x }{ 49 }$$

Differentiate w.r.t. x

$$\frac{6787}{64827} = 0.10469403180773443$$

Steps Using Definition of a Derivative

Combine \frac{5464}{64827}x and \frac{x}{49} to get \frac{6787}{64827}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6787}{64827}x)$$

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

$$\frac{6787}{64827}x^{1-1}$$

Subtract 1 from 1.

$$\frac{6787}{64827}x^{0}$$

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

$$\frac{6787}{64827}\times 1$$

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

$$\frac{6787}{64827}$$

Evaluate

$$\frac{6787x}{64827}$$

Solution Steps

Combine \frac{5464}{64827}x and \frac{x}{49} to get \frac{6787}{64827}x.

$$\frac{6787}{64827}x$$