Questions from General Calculus

Q: Differentiate the function. z = A/y10 + Bey

Differentiate the function. z = A/y10 + Bey

Q: Differentiate the function. y = ex+1 + 1

Differentiate the function. y = ex+1 + 1

Q: For what values of does the graph of have a horizontal tangent

For what values of does the graph of have a horizontal tangent? f (x) = x + 2 sin x

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = 4√x, (1, 1)

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = x4 + 2x2 – x, (1, 2)

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

Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 2e (0, 2)

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same screen. y = 3x2 - x3 (1, 2)

Q: Differentiate. f (t) = cot t/et

Differentiate. f (t) = cot t/et

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same screen. y = x - √x (1, 0)

Q: Find f'(x). Compare the graphs of f and f'

Find f'(x). Compare the graphs of f and f' and use them to explain why your answer is reasonable. f (x) = ex - 5x