Hello : let : y = f(x) so : y' = f'(x)
calculate : f'(x) and : f'(-1) given f(-1) = 2
by derivate : <span>4x3+2y2−11=4xy−x
12x² +4yy' = 4y +4xy' - 1
4yy' - 4xy' = - 12x² +4y -1
y' ( 4y - 4x) = 4y -12x² -1 ...(*)
if x = -1 y = 2 subsct in : (*)
y' (4(2)-4(-1)) = 4(2)-12(-1)² - 1
2y' = - 9
y' = - 9/2 = f'(- 1) ( the slope of the tangent )
</span>of the tangent line to the curve <span>at the point (−1,2) is :
y - 2 = (-9/2)(x +1)</span>
Answer:
c=5
Step-by-step explanation:
Sorry I did a problem just like this on my paper so im just gonna copy my work
Simplifying
2x + -5 = 2x + -1c
Reorder the terms:
-5 + 2x = 2x + -1c
Reorder the terms:
-5 + 2x = -1c + 2x
Add '-2x' to each side of the equation.
-5 + 2x + -2x = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 + 0 = -1c + 2x + -2x
-5 = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 = -1c + 0
-5 = -1c
Solving
-5 = -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-5 + c = -1c + c
Combine like terms: -1c + c = 0
-5 + c = 0
Add '5' to each side of the equation.
-5 + 5 + c = 0 + 5
Combine like terms: -5 + 5 = 0
0 + c = 0 + 5
c = 0 + 5
Combine like terms: 0 + 5 = 5
c = 5
Simplifying
c = 5
3 hours and 45 minutes
The equation can be solves by adding their two efforts together in a ration equation. See below.
5/x + 15/x = 1
Then give them common denominators and add and solve.
Answer:
Step-by-step explanation:
Given
Solving (a): n
To solve for n;
We make use of
Substitute values for XY and XZ
Divide through by -6
Solving (b) XY
Substitute 3 for n
Solving (c): XZ
Answer:
see explanation
Step-by-step explanation:
The vertex form of f(x) is
f(x) = (x - h)² + k
where (h, k) are the coordinates of the vertex
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 14x
f(x) = x² + 2(7)x + 49 - 49 + 36
= (x + 7)² - 13
The minimum value of f(x) is the y- coordinate of the vertex
vertex = (- 7, - 13), that is minimum value = - 13
