For the following equation, evaluate (dy)/(dx) when x=2. y=x^(4)+5x Answer:

Identify Problem Type: Identify the type of problem and the method to solve it. We need to find the derivative of the function y with respect to x, and then evaluate it at x=2. This is a differentiation problem.Differentiate Function: Differentiate the function y=x^(4)+5x with respect to x. The derivative of x^(4) with respect to x is 4x^(3), and the derivative of 5x with respect to x is 5.Combine Derivatives: Combine the derivatives to get the expression for (dy)/(dx). The combined derivative is (dy)/(dx) = 4x^(3) + 5.Evaluate at x=2: Evaluate the derivative at x=2. Substitute x=2 into the derivative to get (dy)/(dx) = 4(2)^(3) + 5.Calculate Value: Calculate the value of (dy)/(dx) when x=2. The calculation is (dy)/(dx) = 4(8) + 5 = 32 + 5 = 37.

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For the following equation, evaluate
(dy)/(dx) when
x=2.

y=x^(4)+5x
Answer:

For the following equation, evaluate $\frac{d y}{d x}$ when $x=2$ . $\newline$ $y=x^{4}+5 x$ $\newline$ Answer:

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Algebra 2

Write a formula for an arithmetic sequence

Full solution

Q. For the following equation, evaluate

\frac{d y}{d x}

when

x=2

\newline

y=x^{4}+5 x

\newline

Answer:

Identify Problem Type: Identify the type of problem and the method to solve it. We need to find the derivative of the function $y$ with respect to $x$ , and then evaluate it at $x=2$ . This is a differentiation problem.
Differentiate Function: Differentiate the function $y=x^{4}+5x$ with respect to $x$ . The derivative of $x^{4}$ with respect to $x$ is $4x^{3}$ , and the derivative of $5x$ with respect to $x$ is $5$ .
Combine Derivatives: Combine the derivatives to get the expression for $\frac{dy}{dx}$ . The combined derivative is $\frac{dy}{dx} = 4x^{3} + 5$ .
Evaluate at $x=2$ : Evaluate the derivative at $x=2$ . Substitute $x=2$ into the derivative to get $\frac{dy}{dx} = 4(2)^{3} + 5$ .
Calculate Value: Calculate the value of $(\frac{dy}{dx})$ when $x=2$ . The calculation is $(\frac{dy}{dx}) = 4(8) + 5 = 32 + 5 = 37$ .