Solve 2x^2*3^5

$$2 x ^ { 2 } \times 3 ^ { 5 }$$

Evaluate

$$486x^{2}$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$2x^{2}\times 243$$

Multiply 2 and 243 to get 486.

$$486x^{2}$$

Differentiate w.r.t. x

$$972x$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 5 and get 243.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 243)$$

Multiply 2 and 243 to get 486.

$$\frac{\mathrm{d}}{\mathrm{d}x}(486x^{2})$$

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

$$2\times 486x^{2-1}$$

Multiply 2 times 486.

$$972x^{2-1}$$

Subtract 1 from 2.

$$972x^{1}$$

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

$$972x$$