What is the derivative of c^x ?

The derivative of c^x is c^xln(c)

What is the first derivative of c^x ?

The first derivative of c^x is c^xln(c)

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\frac{d}{d x} (c^{x})

c^{x} ln (c)

Solution steps

\frac{d}{d x} (c^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= c^{x} ln (c)

x \to \infty lim (ln (- x))

2^{^{'}}

\frac{d y}{d x} = \frac{( e ^{x - y} )}{( 1 + e ^{x} )}

y^{^{'}} + a \cdot y - b = 0