Here, we show you a step-by-step solved example of product rule of differentiation. This solution was automatically generated by our smart calculator:
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=3x+2$ and $g=x^2-1$
The derivative of the constant function ($2$) is equal to zero
The derivative of a sum of two or more functions is the sum of the derivatives of each function
The derivative of the constant function ($-1$) is equal to zero
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=3$ and $g=x$
The derivative of the constant function ($3$) is equal to zero
$x+0=x$, where $x$ is any expression
The derivative of the linear function is equal to $1$
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Subtract the values $2$ and $-1$
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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