Solve 3x^4-8x^2+50

$$3 x ^ { 4 } - 8 x ^ { 2 } + 50$$

Differentiate w.r.t. x

$$12x^{3}-16x$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$4\times 3x^{4-1}+2\left(-8\right)x^{2-1}$$

Multiply 4 times 3.

$$12x^{4-1}+2\left(-8\right)x^{2-1}$$

Subtract 1 from 4.

$$12x^{3}+2\left(-8\right)x^{2-1}$$

Multiply 2 times -8.

$$12x^{3}-16x^{2-1}$$

Subtract 1 from 2.

$$12x^{3}-16x^{1}$$

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

$$12x^{3}-16x$$

Evaluate

$$3x^{4}-8x^{2}+50$$