Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.) f(x) = -5x√x + 1 (-3, 10√3) L -3 -2 -1 y 2 1 2 3 X e

Q: Find the differentiation and provide complete solution. a. f(x)=x/∛x2+4 b. y=(3x-1/x2+3)2

A: To differentiate: (a) f(x)=xx2/3+4. (b) y=3x-1x2+32.

Q: Find the derivative of the function. 21

A:

Q: (a) y = x³+3* - 1 3√x + 3 csc (3). (b) y = a + bx² x4

A:

Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: Express y as a function of x. The constant C is a positive number.; ln(y + 4) = 5x + ln C

A: We need to express y as a function of x. The constant C is a positive number.; ln(y + 4) = 5x + ln C

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: Use the product rule to find the derivative of (−4x³ + 8x¹0) (4e² – 6). You do not need to expand…

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Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A: