Who State 1) The derivative of 2 is fis at c Weather Continuous at 6 V cách 13 3) if f'(c)=0, then f has or minimam true or take polynomial is a polynomial at 4, then f is differentiable local maximam or

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

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Q: A small pump spouts water and the verticle height (in m) of the water is described by the function…

A: Definition used – Extreme values of function – By equating the first derivative to 0, we get…

Q: unction fis given by f' (z) =-3z +4 for all z, and f(-1) = 6. Which of the following is an equation…

A: Given that the drivative of the function f isf'(x) = -3x+4  for all xand f(-1) = 6Now, f'(x)x = -1 =…

Q: Prob. 6 (a) i) Let f(x) = 2x² - 3. Find f'(-2) using only the limit definition of derivatives. (b)…

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Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: f(t) = 2t³ + 3t2 - 36t

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Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=6 and p′(1)=0

A: Since you have posted multiple question in this question which are nt interlinked so i have solved…

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

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Q: BONUS 2. Are there points of inflection on the function fx) = 10x+ 3. For the function f(x) - x - 4x…

A: The maxima and minima of a function, known collectively as extrema, are the largest and smallest…

Q: Let / be a differentiable function that satisfies Then f(x+y)-f(x) = 6 xy + 3y2 for any real numbers…

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Q: Find two positive numbers so that the sum of the first and twice the second is 100 and the product…

A: Let two positive numbers are x and y. Given that the sum of the first and twice the second is 100 .…

Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

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Q: Q3) find the derivative of each function: Dy = secx + tanx)(secx-tanx) 2)y (sin) = 1-x'y 3) find .y…

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Q: Let f (2) = (3z +9) (i – v}hat is the real part of the derivative f' (1+ i}

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Q: 14) F(1)=(1", 4VE). a) Find the domain of 7(1) b) Sketch the graph of F(t). Indicate the direction…

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