What is the derivative of 5^x+7^x ?

The derivative of 5^x+7^x is 5^xln(5)+7^xln(7)

What is the first derivative of 5^x+7^x ?

The first derivative of 5^x+7^x is 5^xln(5)+7^xln(7)

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\frac{d}{d x} (5^{x} + 7^{x})

5^{x} ln (5) + 7^{x} ln (7)

Solution steps

\frac{d}{d x} (5^{x} + 7^{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5^{x}) + \frac{d}{d x} (7^{x})

\frac{d}{d x} (5^{x}) = 5^{x} ln (5)

\frac{d}{d x} (7^{x}) = 7^{x} ln (7)

= 5^{x} ln (5) + 7^{x} ln (7)

\frac{d}{d x} (- 262144 cos (2 x))

x \to - 3 lim (h (x))

x \to 3 lim (\frac{x ^{2}}{x - 3})

x \to 2 + lim (\frac{4}{x})

\int \frac{12}{1 + 9 x ^{2}} d x

What is the derivative of 5^x+7^x ?
The derivative of 5^x+7^x is 5^xln(5)+7^xln(7)
What is the first derivative of 5^x+7^x ?
The first derivative of 5^x+7^x is 5^xln(5)+7^xln(7)