Asked by Stuck
                Differentiate x5^sqrt(x).
Help please!
            
        Help please!
Answers
                    Answered by
            Reiny
            
    not clear
is it
x(5)^√x ??
    
is it
x(5)^√x ??
                    Answered by
            Stuck
            
    Yes, basically, "x times 5 to the square root of x".
    
                    Answered by
            Reiny
            
    use the product rule,
you will have to know how to differentiate a function of the type y = a^u, where a is any positive number
so
y = (x)(5^√x)
dy/dx = x (5^√x)(ln5)(1/2)(x^)(-1/2) + 5^√x
    
you will have to know how to differentiate a function of the type y = a^u, where a is any positive number
so
y = (x)(5^√x)
dy/dx = x (5^√x)(ln5)(1/2)(x^)(-1/2) + 5^√x
                    Answered by
            Stuck
            
    Ah yes!  Ok, I see what's going on.  Thanks!
    
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