Solve 3x^2+4x^2-5x^2======

$$3 { x }^{ 2 } +4 { x }^{ 2 } -5 { x }^{ 2 } ======$$

Evaluate

$$2x^{2}$$

Solution Steps

Combine 3x^{2} and 4x^{2} to get 7x^{2}.

$$7x^{2}-5x^{2}$$

Combine 7x^{2} and -5x^{2} to get 2x^{2}.

$$2x^{2}$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

Combine 3x^{2} and 4x^{2} to get 7x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}-5x^{2})$$

Combine 7x^{2} and -5x^{2} to get 2x^{2}.

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

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

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

Multiply 2 times 2.

$$4x^{2-1}$$

Subtract 1 from 2.

$$4x^{1}$$

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

$$4x$$