Find the derivative of the function: y = In e+2*+1 Oy = x"[(2x(ln x + 1) + 1] y = x*(2 + x + x² In x) y = x2x+' (1 + x + In x²) %3D y = x2x+1 (2x +1 +2 In x)

Q: Given the equation x' = -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation…

A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: Let x +3 f(x) = x + 7 f(-2) = %3D

A: Solution )

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

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Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

Q: Let f(x) = (2x² + 8x – 1)*. Find f'(x). f'(x) =

A: Given function is Differentiating with respect to x using chain rule of differentiation, we get

Q: Let f(x) = x + 12 f-'(x) = %3D 1.

A: Let's say y = f(x) A function g is said to be inverse of a function f, if g(y) = f(x) Procedure to…

Q: Find f'(x). f(x)=(7x+4)(9x-3) f'(x)= (Type an exact answer.)

A: Given, .Rules of derivative:

Q: Find the derivative of the following: y = (2x + 3) (3 – a²)

A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

Q: If f(x) = (5x + 5)-', find f'(x). Find f'(1).

A: Topic:- derivatives

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: Find f'(x) for the function. RM) = 7x(17x* + ) x + 1 f'(x) = %3D

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Q: Let f(x)=(x+4/x+2)^5 find f'(x).

A: