Solve 2x*3^10=

$$2 x \cdot 3 ^ { 10 } =$$

Evaluate

$$118098x$$

Solution Steps

Calculate 3 to the power of 10 and get 59049.

$$2x\times 59049$$

Multiply 2 and 59049 to get 118098.

$$118098x$$

Differentiate w.r.t. x

$$118098$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 10 and get 59049.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x\times 59049)$$

Multiply 2 and 59049 to get 118098.

$$\frac{\mathrm{d}}{\mathrm{d}x}(118098x)$$

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

$$118098x^{1-1}$$

Subtract 1 from 1.

$$118098x^{0}$$

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

$$118098\times 1$$

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

$$118098$$