Questions from General Calculus

Q: The graph shows how the average age of first marriage of Japanese

The graph shows how the average age of first marriage of Japanese men varied in the last half of the 20th century. Sketch the graph of the derivative function M' (t). During which years was the deriva...

Q: Make a careful sketch of the graph of f and below it

Make a careful sketch of the graph of f and below it sketch the graph of f' in the same manner as in Exercises 4–11. Can you guess a formula for f' (x) from its graph? f (x) = sin x

Q: Write the composite function in the form f (g (x

Write the composite function in the form f (g (x)). [Identify the inner function u = g (x) and the outer function y = f (u).] Then find the derivative dy/dx.

Q: Find the derivative of the function. f (x)

Find the derivative of the function. f (x) = (1 + x4)2/3

Q: Find equations of the tangent line and normal line to the given

Find equations of the tangent line and normal line to the given curve at the specified point. y = 2xex, (0, 0)

Q: Find the derivative of the function. f (z)

Find the derivative of the function. f (z) = 1/z2 + 1

Q: Find the derivative of the function. f (t)

Find the derivative of the function. f (t) = 3√1 + tan t

Q: Find the derivative of the function. y = cos (

Find the derivative of the function. y = cos (a3 + x3)

Q: Find the derivative of the function. y = a3 +

Find the derivative of the function. y = a3 + cos3x

Q: Find the derivative of the function. h (t)

Find the derivative of the function. h (t) = t3 - 3t