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Popular >

(5^x)^'

Solution

(5^{x})^{^{'}}

Solution

5^{x} ln (5)

Solution steps

(5^{x})^{'}

Apply the derivative exponent rule:

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

= 5^{x} ln (5)

Popular Examples

(\partial)/(\partial x)(14x^3cos(7x^2y))

\frac{\partial}{\partial x} (14 x^{3} cos (7 x^{2} y))

area f(x)=4,g(x)=(e^x)/5 ,x=0 area

f (x) = 4, g (x) = \frac{e ^{x}}{5}, x = 0

(y-yx^2)((dy)/(dx))=(y+1)^2

(y - y x^{2}) (\frac{d y}{d x}) = (y + 1)^{2}

derivative of sqrt(7-2x^2)

\frac{d}{d x} (7 - 2 x^{2})

tangent of 3+4x^2-2x^3 tangent of

3 + 4 x^{2} - 2 x^{3}

Frequently Asked Questions (FAQ)

What is the (5^x)^' ?
The (5^x)^' is 5^xln(5)
What is the first (5^x)^' ?
The first (5^x)^' is 5^xln(5)