f'(x) = = Lº 1 + sec(7t) dr f(x) = sec (2) + 6 X Vì Hint: +== f*√²- 1 + sec (7t) dt = - √1+ sec(71) dt

Q: Find (f^-1)’(0) if f(x)=x+sin(2x)

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Q: Given f"(x) = 6x - 5 and f'(-3) = -1 and f(-3) = -2. Find f'(x) = and find f(4) = %3D

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Q: Find f. f'(x)  =√ x (6 +5x) ,f(1)  =10

A:

Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: (2а + 5)10 (г — 3)° (4аг + 7)50 6. f(x)

A: Differenciation of f(x) with respect to x is given below

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: F=11+/2x+3, find F'(3) find F'(8)

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Q: Let f(r) = 2e + 7x + 6, then f(8) = %3D

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Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: 7 (2+ x³)' Vx² – 1 (x2 + x + 1)* 3 d B : dx - 4

A:

Q: Find f. f(x): = f"(x) = -2 + 30x - 12x², f(0) = 5, f'(0) = 12

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Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: here w

A: Here we have,  z(w)=w23w+cewz(w)=w23+1+cw23ewz(w)=w53+cw23ew differentiate with respect to w

Q: s=csc^5(1-t+3t^2) Find the Derivative

A:

Q: If f(x) = (3 +3) -, find f'(x). %3D Find f'(5).

A: Given: fx=3x+3-2 f'x=-23x+3-3×3       =-63x+3-3 Therefore, f'x=-63x+3-3 .

Q: y = 3√x + 4x 2x2 -31 (1) - 1 (-2) - 4 2 х

A: Given query is to find the derivative.