For the following equation, find (dy)/(dx). y=x^(4)+x^(2) Answer: (dy)/(dx)=

Identify Function: Identify the function that needs to be differentiated. The function given is y = x^4 + x^2. We will use the power rule for differentiation, which states that the derivative of x^n with respect to x is n*x^(n-1).Apply Power Rule (x^4): Apply the power rule to the first term x^4. The derivative of x^4 with respect to x is 4*x^(4-1) or 4*x^3.Apply Power Rule (x^2): Apply the power rule to the second term x^2. The derivative of x^2 with respect to x is 2*x^(2-1) or 2*x.Combine Derivatives: Combine the derivatives of both terms to get the derivative of the entire function. The derivative of y = x^4 + x^2 with respect to x is (dy)/(dx) = 4*x^3 + 2*x.

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For the following equation, find
(dy)/(dx).

y=x^(4)+x^(2)
Answer:
(dy)/(dx)=

For the following equation, find $\frac{d y}{d x}$ . $\newline$ $y=x^{4}+x^{2}$ $\newline$ Answer: $\frac{d y}{d x}=$

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Algebra 2

Write a formula for an arithmetic sequence

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Q. For the following equation, find

\frac{d y}{d x}

\newline

y=x^{4}+x^{2}

\newline

Answer:

\frac{d y}{d x}=

Identify Function: Identify the function that needs to be differentiated. The function given is $y = x^4 + x^2$ . We will use the power rule for differentiation, which states that the derivative of $x^n$ with respect to $x$ is $n\cdot x^{(n-1)}$ .
Apply Power Rule $x^4$ : Apply the power rule to the first term $x^4$ . The derivative of $x^4$ with respect to $x$ is $4\cdot x^{4-1}$ or $4\cdot x^3$ .
Apply Power Rule $x^2$ : Apply the power rule to the second term $x^2$ . The derivative of $x^2$ with respect to $x$ is $2\cdot x^{2-1}$ or $2\cdot x$ .
Combine Derivatives: Combine the derivatives of both terms to get the derivative of the entire function. The derivative of $y = x^4 + x^2$ with respect to $x$ is $\frac{dy}{dx} = 4x^3 + 2x$ .