Solve R5200(11/10)^6

$$R 5200 ( \frac { 11 } { 10 } ) ^ { 6 }$$

Differentiate w.r.t. R_5200

$$\frac{1771561}{1000000} = 1\frac{771561}{1000000} = 1.771561$$

Steps Using Definition of a Derivative

Calculate \frac{11}{10} to the power of 6 and get \frac{1771561}{1000000}.

$$\frac{\mathrm{d}}{\mathrm{d}R_{5200}}(R_{5200}\times \frac{1771561}{1000000})$$

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

$$\frac{1771561}{1000000}R_{5200}^{1-1}$$

Subtract 1 from 1.

$$\frac{1771561}{1000000}R_{5200}^{0}$$

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

$$\frac{1771561}{1000000}\times 1$$

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

$$\frac{1771561}{1000000}$$

Evaluate

$$\frac{1771561R_{5200}}{1000000}$$

Solution Steps

Calculate \frac{11}{10} to the power of 6 and get \frac{1771561}{1000000}.

$$R_{5200}\times \frac{1771561}{1000000}$$