Answer: 4x³+29x²+40x-48
Step-by-step explanation:
To solve f(x)·g(x), you multiply them together.
(4x²+13x-12)(x+4) [distribute by FOIL]
4x³+16x²+13x²+52x-12x-48 [combine like terms]
4x³+29x²+40x-48
Now, we know that f(x)·g(x)=4x³+29x²+40x-48.
Product rule:
Power rule:
The exponential function is its own derivative:
Assuming the base of 
is 
, its derivative is
But if you mean a logarithm of arbitrary base 
, we have
So we end up with
Answer:
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Step-by-step explanation:
First consider the slope of this equation we must derive;
Slope Formula = Rise / Run,
y2 - y1 / x2 - x1 ⇒
5 - ( - 5 ) / 4 - ( - 3 ) ⇒
10 / 7 ⇒ Slope : 1 3 / 7
So far we can formulate an equation as such;
y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>
Given one of the points, substitute into this equation solving for b;
5 = 1 3 / 7 * ( 4 ) + b,
5 = 40 / 7 + b,
b = - 5 / 7
From this we can derive one point - slope from equation to be :
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
