Homework SourseFind the derivative of the function Fy fy 7y5y9 fy Solution
Find the derivative of the function F(y)
f(y)= 7^y(5-y^9)
f\'(y) = ???
f(y)= 7^y(5-y^9)
f\'(y) = ???
Solution
Use the product rule! :) f(y)=7^y(5-y^9) Let 7^y = g(y) and 5-y^9=h(y) According to the product rule, the derivative would be g\'(y)h(y)+g(y)h\'(y) First, take the derivative of g(y) (let me know if you need help knowing how to take derivatives!): g\'(y)=ln7 * 7^y Next, take the derivative of h(y): h\'(y)= -9y^8 Now plug all the values into the product rule equation to get: (ln7 * 7^y)(5-y^9)+(7^y)(-9y^8) as your derivative! :) Hope this helps! Let me know if you have any more questions!
