Solve 2^5*10x

$$2 ^ { 5 } \times 10 x$$

Evaluate

$$320x$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$32\times 10x$$

Multiply 32 and 10 to get 320.

$$320x$$

Differentiate w.r.t. x

$$320$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 5 and get 32.

$$\frac{\mathrm{d}}{\mathrm{d}x}(32\times 10x)$$

Multiply 32 and 10 to get 320.

$$\frac{\mathrm{d}}{\mathrm{d}x}(320x)$$

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

$$320x^{1-1}$$

Subtract 1 from 1.

$$320x^{0}$$

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

$$320\times 1$$

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

$$320$$