Find the derivative of f(x) = 7x + 9 at x = 6

1 answer:

3 0

F(x)=7x+9
f´(x)=7
f´(6)=7

answer: f´(6)=7

f´(x)=Lim x⇒0 (f(x+h)-f(x)) / h
f´(6)=lim x⇒ 0 (7(6+h)+9 -(7*6+9)) / h
=lim x⇒0 ( 42+7h+9-42-9) /h
=lim x⇒0 (7h/h)=7

answer: f´(6)=7

You might be interested in

I will be rewarding 100 points I need help

sladkih [1.3K]

Answer:

Taylor's conjecture is correct because the population of 2000 in the city was more compared to the population in 2010 in the same city. This is because the population in 2000 was 935,426 and it had 848 more people in that same city compared to in 2010. Therefore Taylor is right since 2000's population is 848 more than 2010's population...

4 0

3 years ago

Read 2 more answers

A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}$

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.

Therefore using sine rule:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o$