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Nezavi [6.7K]
3 years ago
15

How to find derivative of a function at a given point?

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Fill in the point values in the formula for the derivative.

____

<u>Example</u>

y = x^2 + 3x . . . . . we want y' at (x, y) = (1, 4)

y' = 2x +3 . . . . . . . take the derivative dy/dx of the function

Fill in the value x=1 ...

y' = 2·1 +3 = 5

The value of the derivative at (x, y) = (1, 4) is 5.

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Am stuck on this question and show your working please.
Tamiku [17]

Answer:

1. 6pi or 18.84cm

2. 20pi or 62.8cm

3. 13pi or 40.82cm

4. 9.5pi or 29.83cm

5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.

7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.

8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.

5 0
3 years ago
the vertices of triangle PQR are P(-3, 8), Q(-6, -4), and R(1, 1). If you reflect triangle PQR across the x-axis, what will be t
otez555 [7]

Answer:

The coordinates of the vertices of the image will be:

P'=(-3,-8)

Q'=(-6,4)

R'=(1,-1)

Step-by-step explanation:

If you reflect a point P=(x,y) across the x-axis, the coordinates of the image will be P'=(x,-y), then:

P=(-3,8)=(xp,yp)→xp=-3, yp=8→P'=(xp,-yp)→P'=(-3,-8)

Q=(-6,-4)=(xq,yq)→xq=-6, yq=-4→Q'=(xq,-yq)=(-6,-(-4))→Q'=(-6,4)

R=(1,1)=(xr,yr)→xr=1, yr=1→R'=(xr,-yr)→R'=(1,-1)

3 0
3 years ago
Solve the system of two linear inequalities graphically.
Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\

Now, with both x and y inequalities found, graph it.

7 0
1 year ago
Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π
jolli1 [7]
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

4 0
3 years ago
How do you solve 45 = 3 (x + 1) using the distributive property?
Damm [24]

Answer:

x=14

Step-by-step explanation:

45 = 3 (x + 1)

Distribute the 3 to both terms in the parentheses

45 = 3x +3

Subtract 3 from each side

45-3 = 3x+3-3

42 = 3x

Divide each side by 3

42/3 = 3x/3

14 =x

8 0
3 years ago
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