> Question 4 of 16 Compute the derivative of h(t) t cot(t) 11 csc(t) (Use symbolic notation and fractions where needed.) h'(t)

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: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

Q: Find the first derivative of g(x) = 2 ln(x)tan(x*). 2 tan(4) g'(z) = | 82 sec²(4) In(z)+ X syntax…

A: We will solve the problem. The syntax error is ln(x4)  instead of 'CAPITAL i'. Refer to the final…

Q: 2. Find the derivative. Simplify where possible. (b) у %3 tanh-1(г3)

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Q: Find y’ if y=cos(ln(x^2 +1)) y’(0)= Use implicit differentiation to find the equation of the tangent…

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Q: 1-Vx Let f (x) = Which one is the derivative of f (x)? = COS 1+vx

A: Solution: The objective is to find the derivative of the given function

Q: 1. Find the derivative of f(x) = tan³(sinx) + %3D

A: The given function isf(x)=tan3(sinx)+x3+3x4

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: 4) Use logarithmic differentiation to find the derivative Of the given fünction.Show all steps.…

A: Consider the given function y=xx1+x24

Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: ) Prove that tanh'x = tn/itx, X€ (-1,1) i) , Sinh 'x and tanh'x Find the derivative of coch'x

A: (1). We have to prove that:   tanh-1x=12ln1+x1-x

Q: 10. y = -3 cot 2x, 2nd derivative

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Q: (8) Find the derivative of the functions (i)h(x) = sin 2.x cos 2x (ii) f (x) = cos (tan 4.x) 1 =-…

A: We need to differentiate the given function. We will use different method of differentiation . ( As…

Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

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Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: sin(x') In(5x + 7x- 3) 6) Find the derivative of: y =

A: Formula 1: Let f(x) and g(x) be two functions, then f(x)g(x)=g(x)f'(x)-f(x)g'(x)(g(x))2 The given…

Q: Find the derivatives of the functions in Exercis

A: we have to find the derivative of the given function. g(t)=1+sin3t3-2t-1

Q: 17. Find the first derivative for J(x)=tan0x sec0

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Q: Compute the derivative of the function y = 6 sin¯'(x) at the point x = . CUse symbolic notation and…

A: Topic = Derivative

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

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Q: Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact…

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Q: Find the derivative of y with respect to x. y = csc-1(x5 + 1) ; x > 0

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Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

Q: Find the derivative of f (y) 30% In(y) Enclose arguments of functions, numerators, and denominators…

A: To find the derivative of the given function.

Q: (b) h2(x) = arcsin(Vr + 1). Hint: Use Derivative of sin-(g(x))

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Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: dx as a function of x if dt Find dt2 x sin x. dt?

A: We will solve the following

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

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Q: 1.Find the derivative of the function y = cosh*x – sinh“ x - 2.Find the derivative of y = In cosh x.…

A: Q1)   Given  y= cosh4x -sinh4x         As per our guideline we supposed  to answer only first…

Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

Q: Calculate the derivative of y = cos (11x"). %3D (Use symbolic notation and fractions where needed.)…

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Q: Find the derivative of y= sin cos (tan ax)

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Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: Find the derivative of y 3 sin x +5 cos x A. 3 cos x +5 sin x C. 5 cos x +3 sin x B. 3 cos x-5 sin x…

A: Differentiate wrt x

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: [4][Sec 2.6] Find the derivative of the function but do not simplify: f(x) = cos(sin 3x) .

A: solution

Q: 11) у %3D 14-X Find the derivative. ex 8) у %3D In x

A: topic - derivatives

Q: Compute the derivative of h(sin(x)) at x = * assuming that h' (u)lu=0,5 = 10. (Use symbolic notation…

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Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: 1+sin 2x 1) Find the derivative of f(x) = 2 cos x

A: To find The derivative of given f(x)

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: find the equation of the tangent line to the graph of the function y = ln(x^2) at the point (3, 1).

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