Find the second derivative of the following function: y = e 3 x + 2 A. e 3 x + 2 B. e 9 y C. 3 e 3 x + 2 D. 9 y

Question

Find the second derivative of the following function:   y  =      e          3      x      +      2       A.       e          3      x      +      2       B.       e          9      y       C.   3      e          3      x      +      2       D.   9  y

Valentino Sloan · Accepted Answer

We have,  y  =      e          3      x      +      2      We must employ the chain rule in order to distinguish this function.First derivative of this function is:            d      y              d      x        =      e          3      x      +      2        .      d          d      x        (  3  x  +  2  )            d      y              d      x        =  3      e          3      x      +      2        =  3  ySecond derivative of this function is:                    d        2            y              d              x        2              =      d          d      x        3      e          3      x      +      2        =  3  y  .      d          d      x        (  3  x  +  2  )                    d        2            y              d              x        2              =  9  y

Find the second derivative of the following function: y=e^(3x+2) A. e^(3x+2) B. e^(9y) C. 3e^(3x+2) D. 9y

Answered question

Answer & Explanation

New Questions in Differential Calculus