Question

If y=(4x−5)^6, differentiate with respect to x.

24(4x−5)^5
(4x−5)^5
24(x−5)^5
24(4x-5)

Answer 1

47071, Math, Differential Calculus

If $y = (4x - 5)^6$, differentiate with respect to $x$.

a) $24(4x - 5)^5$

b) $(4x - 5)^5$

c) $24(x - 5)^5$

d) $24(4x - 5)$

Solution:

$$y' = \left[ (4x - 5)^6 \right]' = 6(4x - 5)^5 \cdot (4x - 5)' = 24(4x - 5)^5$$

Answer: a) $24(4x - 5)^5$

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