If f(x)=√x+3, g(x)=x², then (fog)(x) = The differential of the function f(x)=tan(cos.x) is_ The equation of the tangent line of y=x²-2x+3 at point (2,3) is_

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 4,    f '(0) = 2

A: f''(x)= sin(x) + cos(x) , f(0)=4 ,f'(0) = 2

Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: This question is related to differentiation, we will use basic rules of differentiation to solve it.

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (f9)'…

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Q: (x) =√1/x^3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

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: f (x) = cos-(sin(x² + 3х))

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Q: f(x) f'(x) x100

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Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: Find the derivative

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Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function…

A: Consider the differential equation dydx=fx,y with the initial condition yx0=y0. Substitute the…