What is the derivative of f(x)=x^5+5^x ?

The derivative of f(x)=x^5+5^x is 5x^4+5^xln(5)

What is the first derivative of f(x)=x^5+5^x ?

The first derivative of f(x)=x^5+5^x is 5x^4+5^xln(5)

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derivative of

f (x) = x^{5} + 5^{x}

5 x^{4} + 5^{x} ln (5)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

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

= 5 x^{4} + 5^{x} ln (5)

f (x) = - 4 6 x^{2} - 5 x + 10

x \to 0 lim (3 - x)

\frac{\partial}{\partial θ} (a cos (θ))

\frac{\partial}{\partial x} (5 x^{2} y + 6 x y^{3})

y^{^{'}} = 9 y^{2} sin (x)

What is the derivative of f(x)=x^5+5^x ?
The derivative of f(x)=x^5+5^x is 5x^4+5^xln(5)
What is the first derivative of f(x)=x^5+5^x ?
The first derivative of f(x)=x^5+5^x is 5x^4+5^xln(5)