The distance that a bird flies is measure by y miles for x minutes, and is given by the function y=f(x). a. Interpret f(5) and state the units. b. Interpret f'(5) and state the units.

Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3…

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Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 0. 1 (a) f'(-3) (b) f'(-2)…

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Q: リ 「h (ex+Xe

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Q: Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x>…

A: According to given data y=kx                                                           ..1 Now,…

Q: Differentiate the function with respect to the independent variable. f(s) = s° e ² + 4 e f'(s) = D

A: Given: f(s)=s6 e2+4e To determine: f'(s)

Q: f(x, y) = x".

A: Given: f(x,y)=xy To find the partial derivative with respect to x of a function of two variables…

Q: Find the derivative: h(a) = / = 60 + f(x), given f(8) 4 and f'(8) = 7 h'(8) =

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Q: Find the derivative of the function. f(t) = (6t + 7)2/3

A: Consider the given function below:

Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: 1 B2(a): Find the derivative of the function 10x + 4 Y = and simplify the answer: 5x – 4 -

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Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: The demand Q for butter is related to the price P by the equation Q. P1/2 = 38. Find dQ/dP by…

A: Given: The given equation is: Q·P12=38

Q: f(x) = 7e(x²+1) .3 %3D

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Q: Find the derivative of the function. 6 9(t) = t2. 9'(t) = |

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Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) < 0  at x = a

Q: For function, find (a) the equation of the secant line through the points where x has the given…

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Q: Use the figure below to calculate the derivative, h'(4) if h(x) = (f (x))*. (4.1, 7.3). f(2) (4, 7)

A: Derivative of and function at a point is slope of tangent of the function of that point.

Q: Find the second derivative of the function Y = (3x² – 5)´ A. " = 1082? + 60 B. /" = 1082? – 60 C. "…

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Q: Evaluate the function: dx ¤(1+x?)

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Q: The cost, in dollars, of water consumed by a factory is given by the function C(w) = 15 +0.1vw,…

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Q: Differentiate the function with respect to the independent variable. f(s) = s* e5 +4 e

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Q: Find the derivative of the function. h(t) = (t3/t6+3)2

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Q: The relationship between y and z is given by the formula: z=y4-1.Are both quantities functions of…

A: z=y^4 -1 . For one value of y, there is only one value of z. So z is a function of y.

Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the…

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

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Q: The amount of light intensity on a point is given by the function t2 + 3t + 36 I(t : te (0, 15] t+3

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Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: Find the derivative of the function. f(t) = (4t2 − 6t + 7)3⁄2

A: Topic:- derivatives

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Calculate the derivative. f (t) = 31/2. 51/2

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Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

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Q: Differentiate the function with respect to the independent variable. f(s) = s° e4 +3e f'(s) =D

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t.…

Q: Find the constant of variation k. y varies directly as x and when, x = 9, y = 18

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Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

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Q: If f(x)  is the slope of a trail at a distance of miles fromthe start of the trail, what does ∫35…

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Q: f(x) = Vx – 7, write an equation defining f-1(x). Given

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Q: Given the function f(x, y) = x - y' + 2xy. Determine the derivative a?f/ əx² .

A: Find your answer below

Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

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Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

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Q: Find the derivative of the function. (7t-3)7 r(t) = 87 +5 %3D

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Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: (b) Find the derivative of the function f(r) = ( + 6)1²(4 – 17.")18 X -

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Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…