engineering mathematics MCQ #777

Find the derivative of y = e^(sin(x))

engineering mathematics MCQ #777

  1. Question 1

    Q1. Find the derivative of y = e^(sin(x))

    • A) e^(sin(x)) cos(x)
    • B) e^(sin(x)) sin(x)
    • C) cos(x) e^(sin(x))
    • D) sin(x) e^(sin(x))

    Answer: e^(sin(x)) cos(x)

    Explanation: Using the chain rule, dy/dx = e^(sin(x)) * d(sin(x))/dx = e^(sin(x)) * cos(x) = e^(sin(x)) cos(x)