Question

find the derivative f(x)=6 3sqrt x-0.2x^10-5/x+12

Answer 1

\[f(x)=6\sqrt[3]{x}-0.2x ^{10}-5/x ^{2}+12\]

Answer 2

is this
\[ \Large f(x)=6\sqrt[3]{x}-0.2x^{10}-\frac{5}{x}+12 \]

Answer 3

do you know what is the rule for
\[ \Large (x^n)'=? \]

Answer 4

No haven't learned it yet

Answer 5

OK the rule says
\[ \Large (x^n)'=nx^{n-1} \]

Answer 6

ok

Answer 7

now to find the derivative you have to work on every summand separatedly. do you know this?

Answer 8

No :(

Answer 9

the most basic rules of derivatives are:
\[ \Large (k)'=0\qquad\text{$k$ is a constant} \]
\[ \Large (u+v)'=u'+v' \]
\[ \Large (uv)'=u'v+uv' \]
\[ \Large \left(\frac{u}{v}\right)'=\frac{u'v-uv'}{v^2} \]

Answer 10

and
\[ \Large (cu)'=c\cdot u'\qquad\text{$c$ is a constant} \]