Solve x*2^5

$$x \cdot 2 ^ { 5 }$$

Differentiate w.r.t. x

$$32$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 5 and get 32.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 32)$$

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

$$32x^{1-1}$$

Subtract 1 from 1.

$$32x^{0}$$

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

$$32\times 1$$

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

$$32$$

Evaluate

$$32x$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$x\times 32$$