Differentiate y = e 7squarerootx
N Nickirusso New member Joined Jan 4, 2021 Messages 3 Jan 4, 2021 #1 Differentiate y = e 7squarerootx Attachments 6F72309F-64F0-41DB-BBA0-970DA44A069E.jpeg 4 MB · Views: 6
Otis Elite Member Joined Apr 22, 2015 Messages 4,414 Jan 5, 2021 #2 Nickirusso said: Differentiate y = e 7squarerootx Click to expand... Hi Nnickirusso. I can't tell what you were thinking, from your attempt. We can make a u-substitution, if that's easier to understand. y = e^(x^(1/7)) Let u = x^(1/7) y = e^u According to the Chain Rule, the first derivative of y with respect to x is: derivative of e^u (with respect to u) TIMES derivative of u (with respect to x) Can you state the derivative of e^u with respect to symbol u? What is the derivative of x^(1/7) with respect to x? Please show your attempt. Thanks! ?
Nickirusso said: Differentiate y = e 7squarerootx Click to expand... Hi Nnickirusso. I can't tell what you were thinking, from your attempt. We can make a u-substitution, if that's easier to understand. y = e^(x^(1/7)) Let u = x^(1/7) y = e^u According to the Chain Rule, the first derivative of y with respect to x is: derivative of e^u (with respect to u) TIMES derivative of u (with respect to x) Can you state the derivative of e^u with respect to symbol u? What is the derivative of x^(1/7) with respect to x? Please show your attempt. Thanks! ?