Differentiation is concerned with things like speeds and accelerations, slopes and curves ect. These are Rates of Change, they are things that are defined locally. The Fundamental Theorem of Calculus is that Integration and Differentiation are the inverse of each other.

3 0

3 years ago

Masja [62]

Türkiye cumhuriyeti ccc

8 0

4 years ago

Q: Write the slope intercept form of the equation of the line through the given point with the given slope.

Lelechka [254]

6)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=0(x-2)
\\\\\\
y+1=0\implies \boxed{y=-1}$

8)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=3(x-5)
\\\\\\
y-1=3x-15\implies y=3x-15+1\implies \boxed{y=3x-14}$

7 0

3 years ago

Simplify the fraction ​

Simplify the fraction