Solve 2x^2*4^5

$$2 x ^ { 2 } \times 4 ^ { 5 }$$

Evaluate

$$2048x^{2}$$

Solution Steps

Calculate 4 to the power of 5 and get 1024.

$$2x^{2}\times 1024$$

Multiply 2 and 1024 to get 2048.

$$2048x^{2}$$

Differentiate w.r.t. x

$$4096x$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 5 and get 1024.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 1024)$$

Multiply 2 and 1024 to get 2048.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2048x^{2})$$

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

$$2\times 2048x^{2-1}$$

Multiply 2 times 2048.

$$4096x^{2-1}$$

Subtract 1 from 2.

$$4096x^{1}$$

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

$$4096x$$