Solve 158x^3+05x^3

$$158 { x }^{ 3 } +05 { x }^{ 3 }$$

Evaluate

$$158x^{3}$$

Solution Steps

Multiply 0 and 5 to get 0.

$$158x^{3}+0x^{3}$$

Anything times zero gives zero.

$$158x^{3}+0$$

Anything plus zero gives itself.

$$158x^{3}$$

Differentiate w.r.t. x

$$474x^{2}$$

Steps Using Definition of a Derivative

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(158x^{3}+0x^{3})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(158x^{3}+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(158x^{3})$$

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

$$3\times 158x^{3-1}$$

Multiply 3 times 158.

$$474x^{3-1}$$

Subtract 1 from 3.

$$474x^{2}$$