Solve 3^15m*58=

$$3 ^ { 15 } m \times 58 =$$

Evaluate

$$832236606m$$

Solution Steps

Calculate 3 to the power of 15 and get 14348907.

$$14348907m\times 58$$

Multiply 14348907 and 58 to get 832236606.

$$832236606m$$

Differentiate w.r.t. m

$$832236606$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 15 and get 14348907.

$$\frac{\mathrm{d}}{\mathrm{d}m}(14348907m\times 58)$$

Multiply 14348907 and 58 to get 832236606.

$$\frac{\mathrm{d}}{\mathrm{d}m}(832236606m)$$

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

$$832236606m^{1-1}$$

Subtract 1 from 1.

$$832236606m^{0}$$

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

$$832236606\times 1$$

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

$$832236606$$