Determine alL the tranforn cutions needed to logari thm f x) =inG) int0 the chitcd gx2=D-3•1n lax t4). fransform the parent natural

Q: 5. Find f'(x) given f(x) = 6 log, x + 4* – 8e*

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Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: By using the exponential definitions of sinh and cosh. show that cosh (t) - sinh (t)

A:

Q: y = 2x² √T-4x²³ tan x Use logarithmitic to find dy dx

A:

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: 4x-81 Find the Greatest Common Factor (GC a (x-3) +1 (x - 3)

A: We have to solve the problem

Q: omposite function f ◦ g and state its domain. (b)  Find the composite functio

A: Here we have, f(x)=x+1x-1 and g(x)=1x

Q: Ifu =x log xy where x' + y' +3xy = 1 find

A: Given: u=xlogxy we can write it as- u=xlogx+xlogy...............equation A By derivative we get:-…

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

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Q: 1+ax dx Evaluate log 1-ax x 1-x

A:

Q: Let f(x) = log2(3x). Find f'(1). %3D

A: To find f ‘(1).

Q: d. y= 2xe2x e. y= log2(2x2 + 1)

A: The objective is to find  dy/dx.

Q: Logarithmic differentiation 2x-1 Ex. Find dy/dx: y = (x +2)***

A:

Q: Find h" (x) if h(x) = log,(cos(x)) – e®z. -

A:

Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

Q: 1/2 (log.(e))" (b) dt. 2t

A:

Q: Hw) Prove That:- 0 sinhz = log (z+lz*+) e coshz= Loy (2/23) ® Tanh'z = +2 1-2 Examml

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find dy dx 5. = sec ¹(log 7x) y =

A:

Q: b. y= tan(7x-3)•log 4(5 + 2x) use the Product rule (3)

A: We use product rule of derivative :d/dx(uv)=ud/dx(v)+vd/dx(u). See 2nd step.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.