Find the derivative of 5 sin x+ex log x
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Concept:
Derivative of a function is a rate of change of a function with respect to a real variable.
Certain formulas are very important for solving derivatives
for functions involving product of two functions,
f(x)g(x)= f(x) g'(x)+g(x)f'(x)
where g'(x),f'(x) are differentiation of f(x) and g(x)
Given:
function 5 sinx+ e^x logx
Find:
we are required to find the derivative
Solution:
Let us differentiate the function with respect to x
y= 5 sinx +e^x logx
y = 5cosx+ 0+ e^x x 1/x + log x e^x
Hence, the derivate is 5cosx+ 0+ e^x x 1/x + log x e^x
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