Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan x) O E. None of these y = (tan x) In x In x. Inx (secx)2 tan x + (secx) 2 x tan x In (tan x) X + In x (sec x) tan x

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: Let f(x) 4 cos x + 2 tan x f' (æ) = r(금)- f'

A:

Q: Determine f '(x) for function f(x)= x2 tan x

A: Firstly, we use product rule of differentiation, which is (uv)'=uv'+u'v as shown on board.

Q: If f(x) = cos x 5 tan x, then ƒ'(x) = ƒ'(1) =

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: If f(x) f'(x)= = 3x sin x cos x, find Find f'(5): =

A: 1) f(x)=3 sinx cosx 2) f(x)=8cosx+6tanx.

Q: y = 3x sin-(x²) + In(1 + 2x). Find y' using derivative rules

A: The given function is as -y = 3xsin-1(x2) + ln(1+2x)Differentiating on both sides with respect to…

Q: 4 tan(x) Let f(x) -. Find the following: 4x sec2 (x) – 4 tan(x) 1. f'(x)= %3D 2 2. f'(1)= %3D

A: We know quotient rule for differentiation is  ddxfxgx=gxdfxdx-fxdgxdxgx2

Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…

Q: Let f(x)=(6sinx+2cosx)tan−1x f'(x) =

A: Consider the function