Find the Derivative - d/d@VAR f(x)=sin(7x)
Problem
Solution
Identify the function as a composition of functions, where the outer function is
sin(u) and the inner function isu=7*x Apply the chain rule, which states that the derivative of
ƒ*(g(x)) isƒ′*(g(x))⋅g(x)′ Differentiate the outer function
sin(u) with respect tou to getcos(u) Differentiate the inner function
7*x with respect tox to get7 Multiply the results together and substitute
u=7*x back into the expression.
Final Answer
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