dy 1) Find for each of the following functions: dx COS X a) y =. 3-x b) y=e"-u) and u=2x-6 y=e(1-u) 3 c) y= 4x sec (3x) 2) Find y" if y= 3x²-In (2x)–8

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: 6. If f(r, y) = tan-(x/y), then the value of f,(3, 2) is %3D -3 (b) (c) 1 (d) -2 (a) 13

A:

Q: The equation cos (10x) = sec (50y) defines y as an implicit function of x. If it is known that, y'…

A: Given: cos10x=sec50y To Find: if y'=10sin10xgythen gy is equivalent to: Concept: i. ddxcosx=-sinxii.…

Q: 3) Find y" if y= 9 sin x.

A:

Q: X sec10 can 1. Let u = 7 In х2 - 1

A: Given: ∫x sec107ln2x2 - 13tan7ln2x2 - 13dxx2 - 1.

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: 3. Find the derivatives: 3x3-4 a) f (x) = b) y = (x2 + 6x + 2) (+ Vx5 + 3) DO NOT SIMPLIFY 2x²+3 c)…

A: a) Use quotient rule of derivative and find the derivatives of above function.

Q: L=2-36X, y'co) =5, and ylo)=S x)

A:

Q: Function dy du dy du dx dx = (5x³ – 7x² + 2x – 3)*) _y = csc(x² – 3) y = 5x² – . y = V5x2 – 4 _y =…

A:

Q: 2) Find the derivative of the following: c) cos 2x - 3) In(8x - 5x +2)

A: Given:         cos(2x−3)ln(8x2−5x+2)

Q: Q# (13 Rewrite: cos (x)sin(x)dx A) ſ u'du 1/2 B) Tu°du V312 C) [ -u°du 1 V3/2 D) [ u°du 1 V3/2 E)…

A:

Q: b) if J(zf64)} - 39ga) ) ce = Sin () %3D and S(3f (x)+9 6)) dx = tan () 2. 2. +596)) dx

A:

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: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: If y=sin(tan(3x)), then dy dx Check = Select one: O a. 3cos (tan(3x))sec²(3x) O b. cos…

A:

Q: ) Find y as a function of x if x?y" + 2xy' – 42y = 0, y(1) = 5, y'(1) =-3. y =

A:

Q: =4 and f = 12 and let g(x)=f(x)cosx. Find g 6.

A:

Q: (b) Verify that the following function is harmonic u(x, y) = -ey sin x - 2e siny. Find a harmonic…

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Q: Suppose f"(x) =Osin(3z) and f'(0) 4 and f(0) =-2 f(T/3) = Note: Dont confuse radians and degrees

A:

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

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: