Solve 145^2x^23

$${ 145 }^{ 2 } { x }^{ 2 } 3$$

Evaluate

$$63075x^{2}$$

Solution Steps

Calculate 145 to the power of 2 and get 21025.

$$21025x^{2}\times 3$$

Multiply 21025 and 3 to get 63075.

$$63075x^{2}$$

Differentiate w.r.t. x

$$126150x$$

Steps Using Definition of a Derivative

Calculate 145 to the power of 2 and get 21025.

$$\frac{\mathrm{d}}{\mathrm{d}x}(21025x^{2}\times 3)$$

Multiply 21025 and 3 to get 63075.

$$\frac{\mathrm{d}}{\mathrm{d}x}(63075x^{2})$$

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

$$2\times 63075x^{2-1}$$

Multiply 2 times 63075.

$$126150x^{2-1}$$

Subtract 1 from 2.

$$126150x^{1}$$

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

$$126150x$$