Deivatives and limits at Infinity

Differentiate: g(x) = tan²(4x)

• g'(x) = 4tan(4x)sec²(4x)

• g'(x) = 8sec²(4x)

• g'(x) = 8tan(4x)sec²(4x)

• g'(x) = 8x tan(4x)sec²(4x)

• f '(x)•g'(x) + f(x)•g"(x)

• f '(x)•g"(x)

• f '(x)•g"(x) + f(x)•g(x)

• f '(x)•g"(x) + f(x)•g'(x)

Differentiate: y = cos⁵(5x²)

• y' = 50xsin⁴(5x²)

• -50xcos⁴(5x²)sin(5x²)

• y' = -50xsin⁴(5x²)

• y'= -50xcos⁴(5x²)sin(5x²)

• 0

• -1/5

• 2

• 0

• 0

• 2

• -2

• 2