Solve 4x*357^2

$$4x \times { 357 }^{ 2 }$$

Evaluate

$$509796x$$

Solution Steps

Calculate 357 to the power of 2 and get 127449.

$$4x\times 127449$$

Multiply 4 and 127449 to get 509796.

$$509796x$$

Differentiate w.r.t. x

$$509796$$

Steps Using Definition of a Derivative

Calculate 357 to the power of 2 and get 127449.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x\times 127449)$$

Multiply 4 and 127449 to get 509796.

$$\frac{\mathrm{d}}{\mathrm{d}x}(509796x)$$

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

$$509796x^{1-1}$$

Subtract 1 from 1.

$$509796x^{0}$$

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

$$509796\times 1$$

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

$$509796$$