Let f(x)=1.91.9x. Estimate the derivative f′(1.1) to within two decimal places by using a small enough interval.

Q: Find the derivative of h(x) = | 14 arctan(t) dt. h'(x) = ||

A:

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: y= In(In.x)

A: t differentiate wrt x

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Find the second derivative of the following function: f(x) = esinx %3D

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Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

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Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: Q2. Find the slope of the tangent line to the function f(x)= at x 4 by using the 2Vx definition of…

A: Given that,

Q: X+3

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Q: On the same graph of the function f(x) = e5inx - 0.5, plot the approximate second derivative of f(x)…

A: Given:-               Team A and team B are playing football against each other. x = total  goal…

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Define the derivative f'(a) of a function f at x =a.

A: To define: The derivative f'(a) of a function f(x) at x=a

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

Q: Evaluate the derivative at x = 1 for y = I (

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function. 3x2 g(x) • dt 4 + t3 tan x g'(x) =

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Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

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Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: Use the rules for derivatives to find the derivative of function defined as follows. h(z) = log(1 +…

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Q: Give two different interpretations of the derivative of the function y = f(x) at x = a.

A: If f(x) represents a quantity at any x then the derivative f′(a) represents the instantaneous rate…

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Use the Quotient Rule to calculate the derivative for the function g(t) = +4 at t = 1.

A: Given : gt = t4+4t4-4

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: Calculate the derivative of the following functions. y = etan t

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Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: Find the derivative of the function.

A:

Q: Find the derivative of the following function. f(z) = (4z+ e -)*

A: As we know that ddxex=ex [ common derivative]ddxe-z2 =-2e-z2 .z

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: Find the derivative of the function. F(x) etd dt F'(x) =

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Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

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Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: Find the derivative of the function y = csch−1 (1 − x)

A: