7 f"(x) = 8x, f) (x)

Q: Differentiate

A:

Q: 6) Differentiate: a) f(x)= 5x-3 +1)

A:

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: 30. G(x) %3D х3 -5e2х

A: Given  G(x)=x3-5e2x Now we have to find the difference of G(x) as shown below

Q: 8 him XT 2 (secx tanx) 1

A:

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: Given f(x)=x^2+5x+4

A:

Q: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

A:

Q: f(x) = 9x -x? X6=

A: Draw the graph of the function f(x)=9x-x2.   The graph signifies that the curve has  horizontal…

Q: S 3x-7 (5-12x-9x²)² 3/2 dx

A: ∫3x-75-12x-9x23/2dx

Q: Please answer and explain

A:

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: f(x5) (16-x²)³/² dx

A:

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: letf" (x)=4x+3 and f(1)= 5 then find f(x)

A: Use anti-derivative

Q: Find the value of n(A) if n(B)=32, n(A^B)=17, and n(AUB)=49.

A: Given information:The value of n(B) is 32.The value of n(A∩B) is 17.The value of n(AUB) is 49.

Q: Find F (x) Fx)sinor)

A: Consider the given function

Q: given f(x)=20x/x^2-6, for which values is f(x) = -4

A: Dividing by 4 on both sides