Find the derivative of the function given below. k(a) = sin (a) cos"(a) k'(a) =

Q: 8 log, 4-37 Using rules for derivatives, find the derivative of f (x) sin x

A: Given: fx=8logx4-3xsinx We know that ddxuv=vdudx-udvdxv2…

Q: Using Leibniz find the third derivative of the following function y = e2= Inx

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Q: Find the first derivative of the following function:

A: Given function is, y=lnln(2x+3)4

Q: Find the first derivative of: y=-3/√2+x

A: Given : y=-32+x To find the first derivative of the given function.

Q: Find the derivative of the function. f(θ) = cos(θ2)

A: ven that , f(θ) = cos(θ2)Differentiate both side with respect to θf'(θ) = -Sin(θ2) .ddθ(θ2)⇒f'(θ)…

Q: se logarithmic diferentiation te find the derivative of with respect bo the given independent…

A: Differentiation

Q: 1. Find the derivative of each of the following: (a) y=e2* ln´(cos x) Do not simplify your answer.

A: We have to find the derivative of the function…

Q: Find the derivative of y = (-4x - 9)csc (x). Be sure to include parentheses around the arguments of…

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Q: Find the first derivative of the given function by a.definition or increment method b.formula or…

A: Given:  To Find: The first derivative of the given function by  (a.) definition or increment…

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Use logarithmic differentiation to find the derivative of the function. y = x6 cos(x)

A: We have,

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: Dear Student, according to the Bartleby guidelines, we can answer only one question if multiple…

Q: )Find the first derivative or f’(x) of the following functions using long method derivatives

A: Given function ,f(x)=x2+x+1we know that,dydx=lim△x→0△y△x=lim△x→0f(x+△x)-f(x)△xHere…

Q: )Find the first derivative or f’(x) of the following functions using long method derivatives

A: Given that:

Q: Find the derivative of the function. y=log6(1/x6)

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Q: 5. Find the 25" derivative of y= In x. 6. Find the 100 derivative of y=e".

A:

Q: 15) Hyperbolic sine (sinh) is defined by sinh x = e* - e* Use this to find the derivative of…

A: Given that sinh x=ex-e-x2. Obtain the derivative as follows.

Q: Find the derivative of ƒ (æ) = 9ª ln (x). Enclose arguments of functions, numerators, and…

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Q: e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: Find the second derivative of f () = 6 sin (5z). Enclose arguments of functions in parentheses. For…

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Q: The derivative of sin 2x Graph the function y = 2cos 2x for -2 < x< 3.5. Then, on the same screen,…

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Q: Implicit differentiation Use implicit differentiation to finddy/dx.

A: Given function is exy=2y. Chain rule of differentiation states that: ddxfgx=f'gx·g'x Product rule of…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

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Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

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Q: Find the derivative of the function.   f(x) = ln(x + 4)   f'(x)=

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given

Q: Find the derivative of y with respect to x. y 3 sinh 8. The derivative of y with respect to x is

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Q: e derivative of the function given below be used to find the derivative of the give y = x*

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Find the derivative of the function. y = sin(x cos(x))

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Q: Example 17: Find the derivative of function g (t) = tan (5 - sin 2t). Solution: %3D Notice here that…

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Q: Find an equation for the tangent line to the graph of the given function at (-2,3). f(x) =x - 1 Find…

A: Topic:- application of derivatives

Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e3xy = sin…

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Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: UnaUna f(x)=f x+1 Show all your work and simplify the result completely. Find the derivative of e…

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Q: (a) Find the second derivative of the function y = 2x sin(x). (b) Find the derivative of the…

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Q: sin(2 x) + 2 Find the function whose derivative is e 2cos x

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Q: Find the derivative of the function y = 4 sec' (x + 6). (Use symbolic notation and fractions where…

A: We will find the derivative of the given function.Below find the solution in the image.

Q: Ise logarithmic differentiation to find the derivative of the function. y = x4 cos(x)

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Q: Find the derivative of the function y 6 tan-' (). %3D (Use symbolic notation and fractions where…

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Q: Find the first derivative of y = (ln x)* .3 Find the first derivative of f(x) = 3x e

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Q: f(x) = arcsin ysin x

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Q: Use "shortcut" formulas to find D[log10(arccos(2*sinh (x))]. Notes: Do NOT simplify your answer.…

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Q: 12 Find the derivative of f (y) = 5 tan (y) – Enclose arguments of functions, numerators, and…

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Q: The graph of a function is shown together with the tangent line at a point P. 2.

A: Given the graph of the function

Q: Find the first derivative of f(x)

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Q: b) In general, what is the derivative – 2) = Check your answer from a) by means of classic rules of…

A: We have to find derivative

Q: Find the derivative of y=ln(tan-1(x)). If possible please explain the steps

A: From the given problem:   y=ln(tan-1(x))   So,   dydx=ddxlntan-1x...1   As we know that the…

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: The given curve is sin2y =x. We have to find dydx using implicit differentiation. For  implicit…

Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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