Find the derivative of y with respect to x. 30. log 5xlog 5X y dy dx II

Q: Q Find the derivativeof y)with respect tox; in the foltowina function s and u=3X 2 Find dy for the…

A: Given that  The functions  As for the guide lines to solve the one question but here I am solving…

Q: e cos e d (Inly)) = ? %3D do Simplity dy= ? de Simplity

A: Explanation of the answer is as follows

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Find the derivative of the function h(t) = log5(4 − t)2

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Q: Find the derivative of the function f(t) = t 3/2 log2 √( t + 1)

A: Here, This can be written as By factoring out the constant term

Q: 6. h(x) = 5cos(a)

A: Given function is hx=5cosx To find: Derivative of given function. Solution: Function is hx=5cosx…

Q: Which of the following is the derivative of the function h(y) = e°? On (y) = e³y Oh (1) = e Oh (y) =…

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Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

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Q: 6. y = In (e* + e*)

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Q: 1. Find and simplify the indicated derivative: (a) D: [e¯t sin(2t)]

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Q: Find the derivative of the function y = xe2 %3| Select the correct answer below: O e2r (2a + 1) O…

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Q: a. y = f(x) = x' In(e?) %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

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Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

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Q: 3. y= Vx*e*

A: y=x23exProduct rule f(x)* g(x)'=f'(x)g(x)+f(x)g'(x)

Q: C) Find the derivative of y= (1+ x?)* D) Find the derivative of f(x) = log3 5x² + 1

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Q: A2) Find the derivative of the following functions: L tanz (d). g(z) 3 - secz

A: The given function is fx=tanx3-secxWe need to find the derivative of the function.Formulae to be…

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

Q: Find for y = (x? + 5)°(1 – x*)* using logarithmic differentiation. dx

A: To find dy/dx using logarithmic differentiation

Q: 5. Evaluate the following derivatives. (a) y" where y = x7 + 3 ln(x). %3D

A: a) find y'''  where y=x7+3ln(x) First we need to find first derivative with respect to x  use power…

Q: ソ= 9+8 e cos e dLinly))= ? Simplified dy = ? %3D de Simprified

A: Explanation of the answer is as follows

Q: L Find the derivative..the following.vecter.Fimctrenss ?It).= ei +In(1+3t). k.. -1

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: 3) e y = (cos x)" using Logarithmic Differentiation

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Q: 3(34 to Y= ! 2% e dy

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Q: 2. (a) Find the derivative y', given: (i) y = (x² + 1) arctan r – x; Answer: (ii) y = cosh(2x log…

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Q: Can you help me step by step with this problem?

A: Firstly, we set cscx+cotx=u, then y=u^-1 and then we find derivatives  dy/du and du/dx

Q: 21. Given: y = the first derivative of y is In a e* (xinx – 1) (Inx)? e* (Inx - 1) x(In x)? e* (x?…

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Q: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

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Q: Find the first derivative dy/dx of the following. Simplify. y = (1+ x²)Arctan x – x

A: Given y=(1+x2)arctanx-x To find the first derivative dydx

Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

Q: 9. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) y = x° + 7°…

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Q: Find the dy/dx of the following function. Implicit differentiation e2y + x3 =y

A: We have to determine derivative of following function

Q: Q3) Find the derivative of y for all functions the following (3) y = tlog3(e(stn t)(In 3)) %3D

A: The derivative of the logarithmic terms can be calculated by first simplifying the logarithm. The…

Q: 18. Find an equation of the tangent line to the graph y = e * at the point (0,1). 7x dy if y = et…

A: As per guidelines incase of multiple questions asked, we are supposed to answer only the first three…

Q: h(t) = (e" +2)

A: given that h(t)=(e3t+2)5  So h'(t) = d/dt (e3t+2)5  h'(t) = 5(e3t+2)4 [d/dt (e3t+2)]  h'(t)= 15e3t…

Q: The third derivative of y=x is A) 0 B c) None of the given choices D) 6x E) 3x

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Q: 3. Given x?y? = x² + y², find by implicit differentiation. dx

A: To find: The value of dydx. Given: The equation is x2y2=x2+y2. Formula used: Product rule of…

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

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Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: Can you help me step by step?

A: Given function is

Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

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Q: Find the value of the derivative for the given function. dr 1 if r = de e = 2 dr (Type an integer or…

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Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.