Question

Asked Apr 8, 2019

Step 1

To calculate the value critical number, interval of increase and decrease and local extremas for the provided function **f(x)=(2/5)x^5-6x^3-(29/5)**. To solve the above problem first differentiate the function with respect to ** x** then calculate the interval where the derivative of the function is greater than zero or less than zero. Again, differentiate the first derivative of the function and check the value of double derivative at critical point as well as in obtained interval for the local extremas.

Step 2

Now, differentiate the function **f(x)=(2/5)x^5-6x^3-(29/5)** with respect to ** x**.

Step 3

Equate the first derivative of th...

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