Final Answer
$\frac{-\frac{5250}{31}q}{\sqrt{\left(k^2+25\right)^{3}}}$
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Step-by-step Solution
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Simplifying
$\frac{d}{dk}\left(-\frac{3}{248}l^2+\frac{-\frac{210}{31}qk}{\sqrt{k^2+25}}\right)$
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dk}\left(-\frac{3}{248}l^2+\frac{-\frac{210}{31}qk}{\sqrt{k^2+25}}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dk(-3/248l^2+(-21/31q*10k)/((k^2+25)^1/2)) using the sum rule. Simplifying. Simplify the derivative by applying the properties of logarithms. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-\frac{3}{248}l^2) is equal to zero.
Final Answer
$\frac{-\frac{5250}{31}q}{\sqrt{\left(k^2+25\right)^{3}}}$