In(cos(x)) cos(In(x)) Find the derivative of cos(In(x)) – In(cos(x)) sin(In(x)) A cos (In(x)) -xcos (In(x)) – In(cos(x)) sin(In(x)) xcos2(In(x)) B) cos(In(x))+In(cos(x))sin(In(x)) cos²(In(x)) COS -xcos (In(x)) + In(cos(x)) sin(In(x)) (D xcos²(In(x))

Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find:  To determine the first order derivative.To determine the first order…

Q: Arctan(x) ln(x^3 + 2) find the derivative    F(x) = arccos(3x^2) find the derivative

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Q: Differential function of x2 + 2x + 3tanx

A: The given function is: x2+2x+3 tan x

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: Using the fact that Inſu(x)v(x)] = In u(x) + In v(x), use the chain rule and the formula for the…

A: Given: lnuxvx=ln ux+ln vx

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: X- 1 Find the anti-derivative of /1-x² 1- x2 – Arcsin x + C V1- x² - Arcsin x + C 2 2/1- x2 - Arcsin…

A: Here we have to find the antiderivative of x-11-x2 ⇒I=∫x-11-x2dx

Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: lim x----->0    sin x sin 2x/1- cos x

A: Given:-  limx→0  sinx  sin2x1-cosxTo find:-     value  of the above limit.Concept:-  Use 'L Hospital…

Q: 4. Find the derivative of the function using the definition of derivative. State the domain of the…

A: f'(x) = limh→0 f(x+h)-f(x)h. The domain of the function is the set of all possible input values for…

Q: 6. Using the limit defenition of the derivative, find the equation of the line tangent to the curve…

A: We have to find the slope of the tangent line at first.Then we find its equation.

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

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Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(6x))x y' =

A: Use log to differentiate

Q: Find Derivative Using Implicit Differentiation: 11. Find derivative Use Leibniz notation in your…

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Q: x+ cos x 4-lim X-0 \sin x cosx.

A: For the existing limit at the particular point, the Right-hand side limit should be equal to the…

Q: Find the derivative of y with respect to x Y=5 ln (3 ln x)

A: Given, y=5 ln (3 ln x) We have to find derivative of y with respect to x.

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: ∫ cos (ln(x)) dx

A: Given-∫cos(ln(x))dx =∫xcos(ln x).1xdxLet u =x      and      dv= cos( ln x )1xdx  So,du=dx      and…

Q: How do you find derivative of y=ln(5x^9+7x)^7/5 or ln(5 to the 9th power plus 7x)all to the 7/5…

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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: Find the derivative of the function. y = square root of 1 - x2 − x cos−1(x)

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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

A: Derivative using quotient rule (f/g)'=(gf'-fg')/g2

Q: Lim e^x +e^-x-x²-2/sin²x-x² when x approaches 0

A: The given limit is, This limit is in 0/0 form, so we can apply L’Hospital's rule,

Q: Find the first derivative of y=3x^2-2√x

A: We have to find the derivative from the given function

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

A:

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: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

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

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Q: 7- cosh(x) 7+ cosh(x) Use appropriate rules of differentiation to find the derivative of Gx) =-

A:

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

A: topic - derivatives

Q: g(x)= cos2x/x2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

A: As per Bartleby's expert answering policy, we can answer one question with a maximum of 3 subparts,…

Q: Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x…

A: The slope of the tangent line of a graph y = f(x) at a point x0 is given by the derivative of…

Q: Find all x-values where g(x) = −(x^3 )+ 3(x^2 )+ 9x − 20 has a horizontal tangent line (that is,…

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Q: The derivative of a function intervals is decreasing ? is given by f’ (x)=e^ sin x -cos x-1 for 0 <…

A: topic - decreasing intervals of a function f is decreasing on intervals where f'(x) is negative

Q: find the derivative of the functions : f'(x)=x(2x-9)^3 y'=x^2squared root of 25-x^2…

A: We have to calculated the derivative of the given functions.

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of the function. f(x) = (2x2 − x)ln x   f'(x)=

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Q: Find the derivative of the function. f(x) = ln(4 − x6) f '(x) =

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Q: Given f(x)=x(x-1). a) Find first derivatives of function f(x) using product rule and chain rule.

A: Our objective is to find the derivative and critical points.