For the following equation, find (dy)/(dx). y=-5x^(5)-6x^(4)-3x^(3)+7x^(2)+6 Answer: (dy)/(dx)=

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For the following equation, find  (dy)/(dx).  y=-5x^(5)-6x^(4)-3x^(3)+7x^(2)+6 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 -5x^(5): First, we find the derivative of the term -5x^(5). Using the power rule, we get: (dy)/(dx) of -5x^(5) = -5 * 5x^(5-1) = -25x^(4).Derivative of -6x^(4): Next, we find the derivative of the term -6x^(4). Using the power rule, we get: (dy)/(dx) of -6x^(4) = -6 * 4x^(4-1) = -24x^(3).Derivative of -3x^(3): Then, we find the derivative of the term -3x^(3). Using the power rule, we get: (dy)/(dx) of -3x^(3) = -3 * 3x^(3-1) = -9x^(2).Derivative of 7x^(2): After that, we find the derivative of the term 7x^(2). Using the power rule, we get: (dy)/(dx) of 7x^(2) = 7 * 2x^(2-1) = 14x.Derivative of constant term: Finally, the derivative of the constant term 6 is 0, since the derivative of any constant is 0. (dy)/(dx) of 6 = 0.Combine all derivatives: Now, we combine all the derivatives we found to get the derivative of the entire function y: (dy)/(dx) = -25x^(4) - 24x^(3) - 9x^(2) + 14x + 0.

For the following equation, find $\frac{d y}{d x}$ . $\newline$ $y=-5 x^{5}-6 x^{4}-3 x^{3}+7 x^{2}+6$ $\newline$ Answer: $\frac{d y}{d x}=$

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For the following equation, find dydx \frac{d y}{d x} dxdy​.\newliney=−5x5−6x4−3x3+7x2+6 y=-5 x^{5}-6 x^{4}-3 x^{3}+7 x^{2}+6 y=−5x5−6x4−3x3+7x2+6\newlineAnswer: dydx= \frac{d y}{d x}= dxdy​=

For the following equation, find $\frac{d y}{d x}$ . $\newline$ $y=-5 x^{5}-6 x^{4}-3 x^{3}+7 x^{2}+6$ $\newline$ Answer: $\frac{d y}{d x}=$