It costs Sugarco 25¢/lb to purchase the first 100 lb ofsugar, 20¢/lb to purchase the next 100 lb, and 15¢ to buyeach additional pound. Let f(x) be the cost of purchasing xpounds of sugar. Is f(x) continuous at all points? Are thereany points where f(x) has no derivative?

Q: Let f(x) = x – In x + 7. a. What is the domain of f? b. Find the derivative of f. c. Identify all…

A: the solution is following.

Q: Calculate the following derivative if h(w) Vwew. (Use symbolic notation and fractions where needed.)…

A: According to the product rule, derivative of the product uv where u and v are functions of x is…

Q: 1.0

A:

Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: The following function gives the average cost (in dollars) per advertisement when paying for X…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: Calculate the derivative of the following function. y=f(g(4x)), where f and g are differentiable for…

A: Using chain rule of differentiation

Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

A:

Q: the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function…

A:

Q: How many of the following functions have a derivative of zero? A. y = √8 D.y = 12- G.y=0 x 16 B.y =…

A:

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the…

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.