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Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4
A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…
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A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1
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A: This question is based on Chain rule diffrentiation. d/dx{f(x).g(x)} = g(x)d/dx{f(x)} +…
Q: x + x dx x2
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Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2
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Q: Find the derivative of the function y = arctan x + x 1+x²
A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2 ..........1ddxuv=vdudx-udvdxv2…
Q: What is the first derivative of f(x) = ln 3z²+7z ?
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Q: Find the derivative of f(x) = Inx + 1].
A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]
Q: 1 Find the first derivative given that f(x) = xdx +
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Q: Find the derivative of f(x) = ln∣cos x∣.
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Q: 12) Find the first derivative of f(x) = 3x %3D
A: Use rules of derivative
Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x
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Q: 2. In y = 2" + x cosh 2x
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Q: Estimate the derivative of f(x) = sin x at x = π/6.
A: Given, f(x) = sin x at x=π6
Q: compute the derivative. f (x) = ln(ex − 4x)
A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…
Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D
A: To find the derivative of the given function.
Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )
A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…
Q: Determine the first derivative of the ff. function y = Vxe2* cos x
A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…
Q: Find the derivative of the function f(x) = cosh(8x + 1)
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Q: Compute the derivative of the fo f(x)= 2x+3x ex
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Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =
A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v
Q: Compute the second derivative of f(x)=ex+x at x = 1 using a step size h = 0.2
A: To find the second derivative of f at x = 1. The approximation formula for second derivative at a…
Q: find th first derivative: x=2cos2 t/2
A: we need to find the first derivative of
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Q: Find the derivative of the function y= arctan x +x/1+x2
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Q: In 2x y = - cos x
A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…
Q: dx V9-x2
A: Since you have posted multiple questions in this question which are not interlinked so I have solved…
Q: What is the approximate derivative of f(x) = x2e* , using backward-difference approach at %3D x-2…
A: The main objective is to calculate the value of the derivative of the function f(x)=x2ex at the…
Q: what is the derivative of f(x)=ln(tanhx)
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Q: 9. For f(x) = arctan (2 sin ( Vx )) , compute the first derivative at the point %3D X =
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Q: The derivative of y = -ln(cos(ex + 1)) is
A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)
Q: Find the derivative of: x²y = (y + 2) + ry sin(x)
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Q: k(x) = x In x %3D
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Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)
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Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?
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Q: nd derivative of f(x) = x In(x)
A: We have to find the second derivative of the given function
Q: 4x dx
A:
Q: What is the first derivative of f(æ)= ln(3z²+7z )? 5z
A: Given f(x)=ln3x2+7x5x We know that derivative of ln(x)=1/x…
Q: By using first principle, show that the derivative of f(x)=- is x+1 1 S'(x) = (x+1)
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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT
A: Given fx=2lnx-x To find the derivative:
Q: Find the derivative. f(x) = eX cosh(x) f'(x) =
A: First use relationship between hyperbolic function and exponential function convert coshx in…
Q: What is the 2nd derivative of y=cosh(x+y)?
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Q: Find the first derivative of h(x) if h(x) = cos (x – 2x) -
A: h(x) = cos2(x3-2x)
Q: 8) Find the first derivative of f (x) = sin 2 (x3).
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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)
A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…
Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =
A: Chufu
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