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Find the derivatives of the following y=(2x+3)⁴ ​
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3 votes
Find the derivatives of the following y=(2x+3)⁴ ​

User Guybrush
by
8.3k points

1 Answer

3 votes

Answer:


(dy)/(dx) = 8(2x + 3)³

Explanation:

Using the function of a function rule

Given

y = f(g(x)) , then


(dy)/(dx) = f'(g(x)) × g'(x)

Given

y =
(2x+3)^(4) , then


(dy)/(dx) = 4(2x + 3)³ ×
(d)/(dx) (2x + 3)

= 4(2x + 3)³ × 2

= 8(2x + 3)³

User Ben Holland
by
8.7k points
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