If f(x) = x² + 2x , then which of the following is true? O f'(x) = df(x) dz o f'(x) = dy O f'(x) = Ay Az O f'(x) = dg(z) dr

Q: (x + 1) f' (x) = f(1) = 5 x,

A: Solution is given below:

Q: Find f. r'(x) = Vx(3 + 10x), (1) = 11 (x)

A:

Q: Find the derivative. y = 5x 4 - 5x 3 7 O 4x3 + 3x2 O 20x3 - 15x2 - 7 O 4x3 + 3x2 - 7 O 20x3- 15x2

A: Given,  y = 5x4 -5x3-7  We have to find the derivative of  y = 5x4 -5x3-7

Q: If f(x) = (3x +8) find f'(z). Find f'(1).

A:

Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Let f(x) = – 5 In(7x) f'(x) =

A: Given,           fx=-5ln7x

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Suppose F(x) = f(x² + 1). Find F'(1) if f'(2) = 9.

A:

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: If f(x) = X = x-9 x+3' where is f not differentiable?

A: Important point regarding rational function:-If function is a rational function then it is…

Q: Let f(x) = e³x²(9x − 2). Compute f'(x). f'(x) =

A:

Q: 1 x'Vx dx –16 x*-16

A:

Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

A:

Q: Let f(x) = (2x² + 8x – 1)*. Find f'(x). f'(x) =

A: Given function is Differentiating with respect to x using chain rule of differentiation, we get

Q: If f( æ ) = 4x² – 2x , what is f'(x) ? O f(x)= 8x – 2 O f'(x)=8x O f'( x)= 8 + 2 O f'( x)= 2x – 2

A:

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: find f'(a) f(t) = 1/(t2+7)

A:

Q: If f(x) = x cosh then f'(9) = 1 ¹() x²-9

A: The given function is

Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5…

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ;…

Q: Let f(x) = x' - 5x + 5x³ – 4x - 5. Then f'(x) is f'(1) is f''(x) is and f''(1) is

A:

Q: If f(x) = 5x' +x²+ 4, then f(-2)- --

A: Given : fx = 5x3+x2+4

Q: Find f such that f'(x) = 5x² + 7x − 9 and f(0) = 9. f(x) =

A:

Q: Let F(x) = f(xf(x)) where f(2)=4, f(8)=5, f'(2)=-3, f'(8)=7. Find F'(2)

A:

Q: Find F'(0) if F'(x)= (1+x) (2+ x)² (3 + x)³ (4 + x)+.

A: Solve the given problem.

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find f'(x) if f(x) = (5x - 1)2. f'(x) =

A: given,

Q: Let f(u)=u^3 and g(x)=u=6x^4+2. Find (f o g)'(1).

A: