Solve 6k^3-2k^4+1)+(4+6k^4+7k^2

$$6 k ^ { 3 } - 2 k ^ { 4 } + 1 ) + ( 4 + 6 k ^ { 4 } + 7 k ^ { 2 }$$

Differentiate w.r.t. k

$$2\left(9-4k\right)k^{2}$$

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}.

$$3\times 6k^{3-1}+4\left(-2\right)k^{4-1}$$

Multiply 3 times 6.

$$18k^{3-1}+4\left(-2\right)k^{4-1}$$

Subtract 1 from 3.

$$18k^{2}+4\left(-2\right)k^{4-1}$$

Multiply 4 times -2.

$$18k^{2}-8k^{4-1}$$

Subtract 1 from 4.

$$18k^{2}-8k^{3}$$

Evaluate

$$1+6k^{3}-2k^{4}$$