For the following equation, find (dy)/(dx). y=3x^(5)+9x^(4)-7x^(3)+3x Answer: (dy)/(dx)=

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For the following equation, find  (dy)/(dx).  y=3x^(5)+9x^(4)-7x^(3)+3x Answer:  (dy)/(dx)=

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Apply Power Rule: To find the derivative of the function y with respect to x, we will apply the power rule to each term individually. The power rule states that the derivative of x^n with respect to x is n*x^(n-1).Derivative of 3x^5: First, we find the derivative of the term 3x^(5). Using the power rule, we get: (dy)/(dx)(3x^(5)) = 3 * 5 * x^(5-1) = 15x^(4).Derivative of 9x^4: Next, we find the derivative of the term 9x^(4). Using the power rule, we get: (dy)/(dx)(9x^(4)) = 9 * 4 * x^(4-1) = 36x^(3).Derivative of -7x^3: Then, we find the derivative of the term -7x^(3). Using the power rule, we get: (dy)/(dx)(-7x^(3)) = -7 * 3 * x^(3-1) = -21x^(2).Derivative of 3x: Finally, we find the derivative of the term 3x. Since this is a linear term, its derivative is simply the coefficient of x: (dy)/(dx)(3x) = 3.Combine Derivatives: Now, we combine all the derivatives we found to get the derivative of the entire function y: (dy)/(dx) = 15x^(4) + 36x^(3) - 21x^(2) + 3.

For the following equation, find $\frac{d y}{d x}$ . $\newline$ $y=3 x^{5}+9 x^{4}-7 x^{3}+3 x$ $\newline$ Answer: $\frac{d y}{d x}=$

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For the following equation, find dydx \frac{d y}{d x} dxdy​.\newliney=3x5+9x4−7x3+3x y=3 x^{5}+9 x^{4}-7 x^{3}+3 x y=3x5+9x4−7x3+3x\newlineAnswer: dydx= \frac{d y}{d x}= dxdy​=

For the following equation, find $\frac{d y}{d x}$ . $\newline$ $y=3 x^{5}+9 x^{4}-7 x^{3}+3 x$ $\newline$ Answer: $\frac{d y}{d x}=$