Find the derivative of each of the following functions fx3 s
Find the derivative of each of the following functions
f(x)=3 square root 7x^4-5x
Please show your work.
f(x)=3 square root 7x^4-5x
Please show your work.
Solution
Possible derivation: d/dx(3 sqrt(7 x^4-5 x)) = | 3 (d/dx(sqrt(7 x^4-5 x))) = | 3 (d/dx(7 x^4-5 x))/(2 sqrt(7 x^4-5 x)) = | (3 (7 (d/dx(x^4))-5 (d/dx(x))))/(2 sqrt(7 x^4-5 x)) = | (3 (7 (d/dx(x^4))-5))/(2 sqrt(7 x^4-5 x)) = | (3 (7 (4 x^3)-5))/(2 sqrt(7 x^4-5 x))