What is implicit (dy)/(dx),y=29^x ?

The answer to implicit (dy)/(dx),y=29^x is (dy)/(dx)=29^xln(29)

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implicit (dy)/(dx),y=29^x

implicit derivative

\frac{d y}{d x}, y = 2 9^{x}

\frac{d y}{d x} = 2 9^{x} ln (29)

Solution steps

y = 2 9^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 2 9^{x} ln (29)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 2 9^{x} ln (29)

\frac{d y}{d x} = 2 9^{x} ln (29)

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 2

x \to 1 lim (x^{2} + 1)

2 x y d y + (x^{2} + y^{2}) d x = 0

\int (\frac{x ( x - 2 )}{( x - 1 ) ^{3}}) d x

f (x) = sinh (4 x)

What is implicit (dy)/(dx),y=29^x ?
The answer to implicit (dy)/(dx),y=29^x is (dy)/(dx)=29^xln(29)