Given that a?h(x) f(æ) h(-1) h'(-1) 2 5, calculate f'(-1). I|||

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Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

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Q: Find the second derivative of the function. f(x) = cos(2x?) f "(x) =

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Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

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Q: Eョ2 T -(X子 ノ = (X)J fi(3)

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Q: Find the derivative

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Q: Consider the function f(x) whose second derivative is f′′(x) = 18x + 3 cos x. If f(0) = 4 and f′(0)…

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Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

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: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

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A: The given function is: fx=x-5x3 The objective is to find the derivative of the function i.e., f'x.

Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

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Q: Consider the function f (x, y) = x²y³ – 3xy³. Compute the value of the derivative frvy at the point…

A: Given function is f(x,y) =  x2y3 - 3xy3 we have to find fxyy at the point (2,1).

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

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Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

A: given  fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

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Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: compute the derivative G(s) = (ln(s))2

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Q: Compute the derivative of h(sin(x)) at x = T/6, assuming h'(0.5) = 10:

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Q: y = V5х+7

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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: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

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A: Consider the given function.

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A: To find the derivative

Q: Find a formula for n.th order derivative of the given functions. 1 b) f(x) = VT 1 a) f(x) = c) f(x)…

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: Show that, for a function f(x) with anti-derivative F(x), d s)ds f(x). %3D dx a

A: Suppose f(x) has an anti-derivate F(x), v(x) and u(x) are differentiable, then Leibniz's rule of…

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

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Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

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Q: a) f sin(x) cos(x) dx,

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Q: Use the forward-difference formula to approximate the derivative of f(x) = In(x) at xo = 1.8 using…

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Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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