The derivative of y = 4cosxsinx is: ○ a) yl= 4(1 — 2 sin² x) b) y/= -4 sin x cos x c) dy = 4 sin x cos x - 4 cos x sin x dx d) yl= 4

Q: Find the following derivatives: 1) y = sincos2x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: Let f(x) = (8 sin a + 4 cos a)tan %3D f'(x) = %3D

A: We will differentiate the given function using the product rule of differentiation

Q: Verify that if y = ƒ(θ2 sin θ, then y'(θ) = ƒ'(θ) sin θ + ƒ(θ) cos θ.

A: We use the product rule

Q: Find the derivative of y = In O O a.) dy dx =In(5) +4ln(x) —In(cosx) 4 1 dx X COSX b.) dy = c.) dy 1…

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Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find the derivatives of each of the following functions f(x)=-2 sinx b) y=-cos²x c) y = 3x sin x d)…

A: find the dervative

Q: 1ó+gosinx+X cosX + loX

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 10. The derivative of y=3excosx  y′=3ex(cosx−sinx) Correct option : C  ) 3ex(cosx - sinx)…

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

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Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

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Q: Find the derivative of y with respect to x for y= ( cos 7x) ot /X Choose the correct derivative of y…

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: 3nt 3nt s = sin 2 + cos 2 %3D

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: Let h(y) = 2 cos y – 7 sin y. Then h'(y) =

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Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

A: The given problem is to find the 3rd derivative of the given functions.

Q: Define f = sin(px^3)+cos(qx)^2 as a function of x (with p and q constant) and differentiate with…

A: see 2nd step.

Q: Let f(x) = (8 sin a + 4 cos x)tan %3D f'(2) = %3D

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Q: 4) More Complex Differentiation: Differentiate and simplify the following functions a) g(x)= rcosx…

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Q: Find the derivative (dy/dx) of the following functions: I) y = (sin x + cos x) sec x

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Q1) Find the first derivative of the following equations: y = x'V

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