In(cos(x)) Find the derivative of cos(In(x))

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

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

Q: fla)=-sinx (): In, Cosx

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Q: find the derivative of   ( -10 sin(x) ) / ( 5x ** 2 - 10 sin(x) )

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Q: Find the derivative of: tan(x)/cosh(x)

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Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: 5. Find the second derivative of * sin- (æ?)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: Find the derivative of function and simply it whenever possible y= ln(ln sec 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…

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Q: What is the derivative of 2(x)ln(x)+x

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Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

A: We have to find the derivative of the given function.

Q: Find the derivative of 5x^2sin(x)tan(x)

A: Given expression 5x2Sin(x)tan(x). We need to find the derivative of it with respect to x.We use the…

Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Verify the derivative of cosine (use the definition of derivative). d[cos(x)]=- sin(x) dx

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Q: In(cos(x)) cos(In(x)) Find the derivative of

A: Quotient Rule of differentiation: ddxuv=vdudx-udvdxv2

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: How do you find the derivative of (tan(x)-4)/sec(x)?

A: Use the quotient rule to find the derivative of (tan(x) – 4)/sec(x) as follows.

Q: Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y…

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

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: Find the derivative of the function. h(x) CoS x 6. %3D 1+ sin x sin x -61 coSX --6 cosx (1+ sin x)6…

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: Find the derivative of: -2 sin (2x"). Hint: sin (x) = [sin(x)]...so use the chain rule (twice Submit…

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Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative of the function. Simplify where possible. y   =arctan(cos θ)

A: Given:y=arc tancosθFormula:ddxtan-1u=11+u2.dudx

Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

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

A: fx=sinxsinx+cosx Differentiating with respect to x, we get…

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: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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Q: Compute the derivative of (ln x)^ln x

A: To find the derivative of (ln x)ln x Using the exponent rule ab=eb ln a we get, (ln x)ln x=e(ln x)ln…

Q: how to find the derivative of 1-sec x

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Q: Find the derivative of these functions with respect to x.   xsin-1(In(x))

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Q: How to find the anti derivative of sin(x)/cos^3(x)

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Q: Example38. From definition, find the derivative of cosx with respect to x.

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Q: Find the derivative of  f(x) = sin(arcsin x) / arctanx

A: Let u=sin(arcsinx)u'=cos(arcsinx)ddx(arcsinx)u'=cos(arcsinx)11-x2u'=cos(arcsinx)1-x2Let…

Q: derivative

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Q: h (x)= 3

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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: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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Q: flx)= -e, 1-x2 1-e

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

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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Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx