I just don't get it. Please help
Using the short cut rule find the derivative of the following functions then simplify results. Please explain how you got it
m(x)=4x^3-15x^2+x-7
h(x)=(3x^2+7)(x^3-x)
g(x)=x
s(t)=4^t5+20t
Hello,Originally Posted by Hallah_az
to1.:
$\displaystyle \frac{dm}{dx}=3 \cdot 4x^2-2 \cdot 15x+1=12x^2-30x+1$
to 2. You have to use the procuct rule:
$\displaystyle \frac{dh}{dx}=(x^3-x) \cdot 2 \cdot3x+(3x^2+7)(3 \cdot x^2-1)=15x^4+12x^2-7$
to 3.:
$\displaystyle \frac{dg}{dx}=1$
to 4.: (I assume that you made a mistake in typing the equation)
$\displaystyle \frac{ds}{dx}=5 \cdot 4t^4+20=20(t^4+1)$
Greetings
EB