The graph of the function f(x) = sin(x + 4) is shown along with the points ( − 4, ƒ( − 4)) and ( − 3, ƒ( − 3)). Draw the tangent line to the point (− 4, ƒ( – 4)) and plot the point on the tangent line that approximates f(-3) using differentials.

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: (2а + 5)10 (г — 3)° (4аг + 7)50 6. f(x)

A: Differenciation of f(x) with respect to x is given below

Q: Solve for the derivative of y=sec3(2-3x) With the answer 9 sec3(2-3x)tan tan (2-3x)  Show…

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Q: Find an equation for the tangent line of the curve 2(x2+y2)2 = 25(x2-y2) at the point (3,1) by…

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Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: Assume that functions f and g are differentiable with f(-5)= 5, f'(-5)= - 3, g(-5)= -4, and g'(-5)=…

A: The detailed solution is as follows below:

Q: Find the derivatives of the function f(x) from the first principle sin2x

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Q: Find the tangent to y = ((x+ 1)/ (x- 2))? at x = 3. |(Type an equation.)

A: Given y=((x+1)/(x-2))^(2) We have to find tangent line as shown below  We know that equation of line…