Questions from General Calculus


Q: Differentiate the function. Y = ln (e-x

Differentiate the function. Y = ln (e-x + xe-x)

See Answer

Q: Small birds like finches alternate between flapping their wings and keeping them

Small birds like finches alternate between flapping their wings and keeping them folded while gliding (see Figure 1). In this project we analyze this phenomenon and try to determine how frequently a b...

See Answer

Q: Find f. f ‘(x) = 5x4 - 3x2

Find f. f ‘(x) = 5x4 - 3x2 + 4, f (-) = 2

See Answer

Q: Find f. f ‘(t) = 4/(1

Find f. f ‘(t) = 4/(1 + t2), f (1) = 0

See Answer

Q: Find f. f ‘(t) = t + 1

Find f. f ‘(t) = t + 1/t3, t > 0, f (1) = 6

See Answer

Q: Find f. f ‘(x) = 5x2/3

Find f. f ‘(x) = 5x2/3, f (8) = 21

See Answer

Q: Find f. f 9’(t) = 3t –

Find f. f 9’(t) = 3t – 3/t , f (1) = 2, f (-1) = 1

See Answer

Q: Find f. f ’’(x)= -2 +

Find f. f ’’(x)= -2 + 12x - 12x2, f (0) = 4, f ‘(0) = 12

See Answer

Q: Find f. f ’’(x) = 8x3 +

Find f. f ’’(x) = 8x3 + 5, f (1) = 0, f ‘(1) = 8

See Answer

Q: Find f. f ’’(θ) = sin θ

Find f. f ’’(θ) = sin θ + cos θ, f (0) = 3, f ‘(0) = 4

See Answer