Let f(æ) = x"h(æ). Given that h(-1) = 2 and h'(-1) = 5, calculate f'(-1). f'(-1) =

Q: f(x) = acos(b\x) x2 COS

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Q: Compute the derivative of the function F (x) = L evi dt.

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Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of function.

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

Q: Compute the derivative f'(x) for f(x) = log(x*) sin(x³).

A: Topic - derivative

Q: Find the Equation of tangent line of the function f(x) = 1 + csc(x) – /cos(x) 2n 4+V3 23 At the…

A: Consider the provided function, fx=1+cscx-cosx and the given point 2π3,4+323. Find the equation of…

Q: Find the derivative of the function. 5x g(x) = [¨ cos(r}]dt cosx

A: We will use Lebnitz rule to differentiate the function .

Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

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Q: f(x)= xe* In(x³)

A: f(x)=xe-xln(x3)According to question we have to calculate the derivative of the function.

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

A: For a function f its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: Find the derivative of the function. rcos(x) y = In(1+2t)dt sin(x)

A: Applying Leibniz rule

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: Find the derivative of the funciton F(x) = ,5t dt. F'(x) =

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Q: Compute the derivative of f(x) = (sin x)v , 0 < x < T.

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Q: Find the derivative of function.

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Q: Find the general anti-derivative of f(x) = + Vx on a continuous interval.

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

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Q: p(x) = In(x)^/x

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

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Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = π/4 , g'(2) = 5, and g"(2)…

A: singx

Q: Compute the derivative of h(sinx) at x = π,/6 , assuming that h' (0.5) = 10.

A: We have to compute the derivative of function hsin x at x=π6, assuming that h'0.5=10. We know the…

Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

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Q: Let f (x) = 7 cos(Tx). Find the twentieth derivative of f (x).

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Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

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Q: Let f(x, y) = cos(x+y²). Compute the rate of change in the direction of fastest increase for f at…

A: Find gradient and its magnitude then solve

Q: Compute the derivative of f (x) = (x – 3r) cos(r). -

A: You will find the derivative of the given function using the product rule of differentiation which…

Q: f(x) = 2x² cos(r®)

A: Given Data: Function: f(x) = 2x2 cos(x5)   The product rule of differentiation is,

Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

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Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = 4, 8'(2) = 5, and g"(2) =…

A: Given: The function singx with g2=π4, g'2=5, and g''2=3, To find: The second derivative of given…

Q: Estimate approximate derivative of f(x) = x2 at x = 1, for h = 0.2, 0.2, 0.05, 0.01 using first…

A: Given function is fx=x2. We have to estimate approximate derivative of the given function at x=1 for…

Q: Y= In (In2 (1-x))re?

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Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

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Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

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Q: Find the derivative of F(x)

A: To Determine: find the derivative of F(x) Given: we have Fx=∫2x3costdt Explanation: we have a…

Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+…

A: Given is the function  y=cos(sin(x))+1) Forward difference is found as:F'xi=Fxi+1-FxiΔx

Q: (d) Compute the driectional derivative of f at (1,2) in the direc- tion u = (e) • point (1, 2)? What…

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. 5/1 x+1 In 22 + arctan x %3D X -1· dy dx

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Q: Compute the derivative of f(x) = arcsin(x² e3=).

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Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

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

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Q: Find the 1st and 2nd derivative of: Vx + Jy = va

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Q: Compute the derivative of f (x) : = arcsin(x² e³«).

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Q: Find the derivative off with respect to x of f(x) = In x⁹. The derivative off with respect to x of…

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Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…