# Math Help - derivative

1. ## derivative

h(x)=2 squarex + 3 3 square x

k(t)= 8t 3/2

g(x) 6x^5-4x^3+x^2

2. And the question is, find the derivative?
Do you know the different rules and if so, what is the problem?

3. Originally Posted by batman123
g(x) 6x^5-4x^3+x^2
I do not understand the first two problems, they are dreadfully ambigous.

Given,
$6x^5-4x^3+x^2$
You need to find, (the derivative)
$(6x^5-4x^3+x^2)'$
thus, by the sum-rule,
$(6x^5)'-(4x^3)'+(x^2)'$
thus, by the constant-multiple rule,
$6(x^5)'-4(x^3)'+(x^2)'$
thus, by the power-rule,
$6(5x^4)-4(3x^2)+(2x)$
thus, after some algebra,
$30x^4-12x^2+2x$

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