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Questions on Differentiation (With Answers) Here are a few solved questions based on differentiation concept. 1. Differentiate x 5 with respect to x. Solution: Given, y = x 5. On
Differentiation is used to analyze the properties such as intervals of increase, decrease, local maximum, local minimum of quadratic functions. Examples with solutions and exercises with
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Solve this linear differential equation. \displaystyle x\dfrac {dy} {dx}-y=x^ {2}\sin (x) xdxdy −y = x2sin(x) \displaystyle y=-y\cos x+c y = −ycosx+c. \displaystyle y=-x\cos y+C y = −xcosy +C.
Solution : the distance x meters traveled by a vehicle in time t seconds. x = 20 t - (5/3)t 2. To find the speed of the vehicle, differentiate it with respect to t dx/dt = 20 (1) - (5/3)(2t) = 20 - (10 t/3)
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