Find f''(x) if f(x)=ex cos(x)+x3

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Find the hundredth derivative of the function f (x) = cos(2x). O f(100) (x) = -2!00 cos(2x) O f(100)…

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Q: Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

A: We know that if f(x)=g(x)h(x) then  f'(x)=g'(x)h(x)+g(x)h'(x)

Q: Find the derivative of y=cos4 x sin4 x Ans: 1/2 sin3 (2x) cos cos (2x) solution?

A: We simplify the given expression using the double angle property

Q: show that nth derivative of  f(x)=x^2/(2x+1)(2x+3)

A: nth derivative of f(x)=x2(2x+1)(2x+3) f(x) can be written as by using synthetic division method…

Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

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Q: 10. f(x) = cos (2x)e*²-1

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Q: What is the first derivative of q(x)= ln((7x^2+3x+7)/((x^5/6)(tan(x)))

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Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: compute the derivative.  f (x) = (cos2 x)cos x

A: To compute the derivative.  f (x) = (cos2 x)cos x

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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Q: Find the second derivative of f(x) = x2+ e* - COSX. O a. f(x) = 2x + xex - cosx O b. f'(x) = 2x + e*…

A: Solve by derivative

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

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Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: Find the derivative of f(x) with respect to x ( 2. f(x) = x² sinx + 2x cos x - 2 sin x

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

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Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is the derivative of f(x)=−cos(x)+4sin(x) at the point x=−π/2?

A: We will find the derivative as following.

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

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: g(x) = cos ¹x+ 1-x

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Q: sinx In (2) co cos x

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Q: what is the first derivative of cosx^2(x^2+2)

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Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: k(x) = x In x %3D

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Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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Q: f(x) = 3 sin 1 (x²)

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Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

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Q: f(x)= sinx/cos x+1

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

Q: Find the first derivative of h(x) if h(x) = cos (x – 2x) -

A: h(x) = cos2(x3-2x)

Q: 2 12. f (x) = (1tsinx) Cosx

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Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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Q: 5-cos x 3) f(x) = 5+sinx foo

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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: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx