Show that d (x + 1)? 1 (을 tan 'x + t In dx (1 + x)(1 + x²) x? + 1

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Check whether the function f(x) = cotx and f(x) = sin2x is well-conditioned or ill- conditioned at x…

A: A function is said to be well-conditioned at a point if small changes in the input result in small…

Q: Differentiate each function a) f(x) =sin'[ (tan (cos (x²)) ] b) g(x) =/ sec(x* +2x) c) h(x)=V5 +3x²…

A: As per our guidelines we need to solve only 3 subparts.please repost the remaining subparts as other…

Q: Let f(x) = f'(x) = - - 9 cos x + 4 tan x ƒ'( - 7) = =

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Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: Let 6х — 8 - f(x) = ln 5x + 4 f' (x) =

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Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: lf f(x) = x sin(2x), evaluate ƒ''(7). 2 ƒ'' (-/-) =

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