I'll get you started. Using the definition of the derivative:
For f(x) = xsinx this gives:
Recall that
From here you should be able to finish it out. Post back if you're still having difficulties.
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Derivative of sin x = cos x, so chain rule to derive 8x = 8 , answer is 8cos8x
Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.
The first derivative is set to zero to find the critical points of the function. A critical point can be a minimum, maximum, or a saddle point. There's a reason for this. Suppose a differentiable function f:R->R has a maximum at x=a. Then the function goes down to the right of a, which means f'(a)