: Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In (tanh? (* + 2x + 1))

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: 01:- Find the first order derivative of each of the following functions: (1+x)3 sec(x2) y = ex.sin2…

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Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

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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: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

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Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: 3. y sinx + 2x²³ COSX 5. f(x) = 5sinx + cosx

A: (3)  y=sinx+2x-3cosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=bdadx-adbdxb2

Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

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Q: se backward-difference formula to evaluate the first derivative of y = cos(x) at - using a value of…

A: Backward difference formula for the first derivativeGiven

Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…

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Q: O Find the derivative of the following functions: L 2+3 (a). f(z) = 2-3 (b). f(z) = 2 tan (z) – 7…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. y = Varcsin(1-x²)

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Q: Find y" by implicit differentiation. Simplify where possible. x² + 6y² = 6 ||

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Q: The function is given: y=-2x³ - 4x +9 Find all derivatives up to zero: y=x"; y'=x²-1

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Q: 1. Prove that the derivative of tan(x) is sec² (x) directly from the definition of the derivative.…

A: The derivative of fx with respect to x is defined as:limh→0fx+h−fxh

Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…