Solve 5m^4-3m^2+6)y(-3m+2)

$$5 m ^ { 4 } - 3 m ^ { 2 } + 6 ) y ( - 3 m + 2 )$$

Differentiate w.r.t. m

$$20m^{3}-6m$$

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}.

$$4\times 5m^{4-1}+2\left(-3\right)m^{2-1}$$

Multiply 4 times 5.

$$20m^{4-1}+2\left(-3\right)m^{2-1}$$

Subtract 1 from 4.

$$20m^{3}+2\left(-3\right)m^{2-1}$$

Multiply 2 times -3.

$$20m^{3}-6m^{2-1}$$

Subtract 1 from 2.

$$20m^{3}-6m^{1}$$

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

$$20m^{3}-6m$$

Evaluate

$$5m^{4}-3m^{2}+6$$