find the derivatives for parts (a) through (d) below.\n(a) if $f(x)=x^{5}$, find $f(x)$.\n$f(x)=square$
find the derivatives for parts (a) through (d) below.\n(a) if $f(x)=x^{5}$, find $f(x)$.\n$f(x)=square$
Answer
Explanation:
Step1: Apply power - rule
The power - rule for differentiation is $\frac{d}{dx}(x^n)=nx^{n - 1}$. Here $n = 5$. $f'(x)=5x^{5-1}$
Step2: Simplify the exponent
$5x^{5 - 1}=5x^{4}$
Answer:
$5x^{4}$