Solve 2x^2*35^2

$$2 x ^ { 2 } \times 35 ^ { 2 }$$

Evaluate

$$2450x^{2}$$

Solution Steps

Calculate 35 to the power of 2 and get 1225.

$$2x^{2}\times 1225$$

Multiply 2 and 1225 to get 2450.

$$2450x^{2}$$

Differentiate w.r.t. x

$$4900x$$

Steps Using Definition of a Derivative

Calculate 35 to the power of 2 and get 1225.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 1225)$$

Multiply 2 and 1225 to get 2450.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2450x^{2})$$

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

$$2\times 2450x^{2-1}$$

Multiply 2 times 2450.

$$4900x^{2-1}$$

Subtract 1 from 2.

$$4900x^{1}$$

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

$$4900x$$