Directions: Find the derivatives of each of the following. 1. y = sin-'(4x²) 2. h'(x)if h(x) = e*sinx – 3e*cosx -

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

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Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: sin (Vx).cos (Vx) dx = ?

A:

Q: Find Dxy for y = sinh-'(x5)

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Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find y'' if y = csc x.

A: Here given

Q: y''+y=-sinx

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Q: • y= cos(a' + x')

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Calculate first 8 derivatives of f (x) = sin(x). What is the pattern and what's the 208th derivative…

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Q: Evaluate the derivatives. Do not simplify. (a) ey - y² = ln x tanz (b) y = (secx)*

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: What is the derivative of the function y = sinh(e*)

A: Given that:y=sinhexTo find dydx

Q: 5 b. y= sin’ x

A: