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Popular >

derivative of x^23^x

Solution

\frac{d}{d x} (x^{2} 3^{x})

Solution

2 x \cdot 3^{x} + 3^{x} ln (3) x^{2}

Solution steps

\frac{d}{d x} (x^{2} \cdot 3^{x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = 3^{x}

= \frac{d}{d x} (x^{2}) 3^{x} + \frac{d}{d x} (3^{x}) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (3^{x}) = 3^{x} ln (3)

= 2 x \cdot 3^{x} + 3^{x} ln (3) x^{2}

Graph

Popular Examples

integral of x/((x+2)(x^2+1))

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

derivative of y=f(x)=cos(3x^2)derivative of

y = f (x) = cos (3 x^{2})

6y^{''}-y^'-y=0,y(0)=10,y^'(0)=0

6 y^{^{''}} - y^{^{'}} - y = 0, y (0) = 10, y^{^{'}} (0) = 0

limit as x approaches 2.1 of-x^2+5x-2

x \to 2.1 lim (- x^{2} + 5 x - 2)

integral of ((x^2-2x+1))/((x^2+x))

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

Frequently Asked Questions (FAQ)

What is the derivative of x^23^x ?
The derivative of x^23^x is 2x*3^x+3^xln(3)x^2
What is the first derivative of x^23^x ?
The first derivative of x^23^x is 2x*3^x+3^xln(3)x^2