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Oxana [17]
3 years ago
5

Let f and g be differentiable functions such that f(1) = 2, f'(1) = 3, f'(2) = -4, g(1) = 2, g'(1) = -3, g'(2) = 5. If h(x) = f

(g(x)) , then h'(1) =
Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer:

12

Step-by-step explanation:

h(x) = f(g(x))

Using chain rule:

h'(x) = f'(g(x)) g'(x)

h'(1) = f'(g(1)) g'(1)

h'(1) = f'(2) g'(1)

h'(1) = -4 × -3

h'(1) = 12

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kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

4 0
3 years ago
If you help me I’ll love you forever <3
eimsori [14]

Answer:

translation

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5 0
3 years ago
PLEASE HELPPPP!!!!!!!
Strike441 [17]

Answer:

Subtract 4 from each side

Step-by-step explanation:

x + 4 > -8

Subtract 4 from each side

x + 4-4 > -8-4

x>-12

6 0
2 years ago
Which type of parent function is f(x) = x2? O A. Square root O B. Linear O C. Cube root O D. Quadratic​
salantis [7]

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Step-by-step explanation:

7 0
3 years ago
Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.
Paladinen [302]

Answer:

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1

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y=x+2

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