Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the derivative of $f (x) = 3 x^{5} + 4 x$ $f (x) = 3x^5 + 4x$ using the limit definition?

1 Answer

Mar 29, 2018

$f'(x)=15x^4+4$

Explanation:

The basic rule is that $x^n$ becomes $nx^(n-1)$

So $5*3x^(5-1)+1*4x^(1-1)$

Which is
$f'(x)=15x^4+4$

Related questions

What is the limit definition of the derivative of the function $y=f(x)$ ?
Ho do I use the limit definition of derivative to find $f'(x)$ for $f(x)=3x^2+x$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=sqrt(x+3)$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=1/(1-x)$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=x^3-2$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=1/sqrt(x)$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=5x-9x^2$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=sqrt(2+6x)$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=mx+b$ ?
How do I use the limit definition of derivative to find $f'(x)$ for $f(x)=c$ ?

See all questions in Limit Definition of Derivative

Impact of this question

3052 views around the world

You can reuse this answer
Creative Commons License