Differentiate.y = 4x/(7-cot(x))

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line tange...

A: Slope of tangent line is ½. So the equation is of the form: 

Q: The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2. We...

A: f"(7)=-2 Since f " (7) < 0 so at x=7 f(x) is concave down.

Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =...

A: Consider the function f(x) = 38·x2.To find the average rate of change of the function over the inter...

Q: Can you help me with this problem step by step?

A: Consider the given derivative function.

Q: 1 on the interval [1,4], verify that f(x) satisfies the hypotheses of the Mean Value Theorem on For ...

A: To verify the hypotheses of the mean value theorem and find all numbers c that satisfy the conclusio...

Q: Can you help me step by step?

A: The function is given by

Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...

A: Click to see the answer

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: Find the given derivative by finding the first few derivatives and observing the pattern that occurs...

A: Find the given derivative by finding the first few derivatives and observing the pattern that occurs...