Question

the derivative of 7^x w.r.t x^7 is​

Answer 1

Given : 7ˣ

To Find : derivative of  7ˣ w.r.t x⁷

Solution:

Let say  y = 7ˣ

and z = x⁷

so we need to find dy/dz

y = 7ˣ

=> dy/dx = 7ˣ  ln 7

z = x⁷

dz/dx  = 7. x⁶

dy/dz  =  (dy/dx) /(dz/dx)

= 7ˣ  ln 7 / 7. x⁶

= 7ˣ⁻¹  ln 7 / x⁶

derivative of  7ˣ w.r.t x⁷ is 7ˣ⁻¹  ln 7 / x⁶  

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