Question

Let f(y) = e^y and g(y) = 10y. Use the chain rule to calculate h′(y) where h(y) = f(g(y)).​

Answer 1

SOLUTION :-

Given,

=>f(y) = e^y and

=>g(y) = 10y

=>First derivative above functions are,

=>f'(y) = e^y and

=>g'(y) = 10

=>To find: h′(y)

=>Now, h(y) = f(g(y))

=>h'(y) = f'(g(y))g'(y)

=>h'(y) = f'(10y)10

=>By substituting the values.

=>h'(y) = e^10y x 10

=>or h'(y) = 10 e^10y.

$\huge\bold{\red{\mathscr{\boxed{\green{Be \: Brainly }}}}}$