Show that_(csc(x)) = −csc(x) cot(x). dx d (csc(x)) = dx || = dx sin²(x) 1 sin(x) 1 = = -csc(x) cot(x) | ) ‹0) – ¹([ sin²(x) sin(x)

Q: If f(x) = 6 sin x + 9 cos a, then f'(x) =

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Q: f'(x) = Let f(x)= = I cos ³

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Q: Find f' (x) for 8 sin(x) f(x) = -; 7x2 – 8 sin(x) s'(x) = |

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Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2…

A: f(x)=sin2(3-x)

Q: Find f'(x) if ƒ (x) = 6 cos x + 10 sin x. S'(x) =|

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Q: If f(x) f'(x) = = COs x 4 tan x, then f'(4) = Check Answer

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Q: f(x) = sec(x) tan(x), then f'(3t) =

A: First derivate then put the value

Q: Let f'(x) = f'( 5 ) = f(x) = 3 sin x + 12 cos x

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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: Differentiate y = In ( sin² (4x)). A y' = 8 tan (4x) y' = 8 cot (4x) y' = 8 csc2 (4x) sin (8x) y' =…

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Q: Verify the equation

A: To establish the given trigonometric identity

Q: If f(z) = 3 sin (z) then f'(z) =

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Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

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Q: If f(x) f'(x) = f'(4) = = 4 sin x 3 + cos x " then

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Q: F(x)=2x sin(x)Tan(x) find f'(x)

A: Use the concept of derivative of the form  f = uvw

Q: Find f'(x) if f(x) = = (2 sin³ x + 7) (lnx + 1) 5r3+4

A: Solution to find the derivative for the given function is as follow .

Q: If f(x) =sin x son 2x sin 3x find f''(x)

A: Given: f(x)=sinx.sin2x.sin3x

Q: If f(x) = 2 tan-'(8 sin(4x)), f'(x) =

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Q: cscxdx 5+ cos²x sin²x

A: Evaluate: I=∫csc2x5+cos2xsin2xdx We know that, cos xsin x=cot x Then, we have I=∫csc2x5+cot2xdx

Q: Let f(x) = (7 sin x + 2 cos x)tan-lx f'(x) = %3D

A: topic - derivatives

Q: If f(x) f'(x) = COS x 3 tan x, then - f' (5) =

A: Derivative of cosx is -sinx.

Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

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Q: dx (Cosx) = -sin(x) Example 39: Use delta method to find the derivative of tanx with respect to x.

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Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

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Q: if S 3 then S f(x) dx = 43 and I f(x) f(x) dx = -2 -1 √ (3 Sin (x) - 4 fcx)) dx = ? -1

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Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: If f(x) ƒ'(x) = f'(2) = 4 sin x 3 + cos x then

A: derivative

Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

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

A: Consider the function

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

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Q: f(x) = 7 sinx+ 5 cos x

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Q: If f(x) = cos(x), what is f'(x) ? O -sin(x) O cos(x) O -cos(x) O sin(x)

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