Solve 6^5m

$$6 ^ { 5 } m$$

Differentiate w.r.t. m

$$7776$$

Steps Using Definition of a Derivative

Calculate 6 to the power of 5 and get 7776.

$$\frac{\mathrm{d}}{\mathrm{d}m}(7776m)$$

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

$$7776m^{1-1}$$

Subtract 1 from 1.

$$7776m^{0}$$

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

$$7776\times 1$$

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

$$7776$$

Evaluate

$$7776m$$

Solution Steps

Calculate 6 to the power of 5 and get 7776.

$$7776m$$