9. 10. What is the derivative of f(x) = e^sin x? -x a) f'(x) = e^(cos x -x c) f'(x) =-e(cos x - sin x) - sin x) b) f'(x) -x = e (cos x + sin x) -x d) f'(x) =-e (cos x + sin x) For u and v, if the sign of u · v is negative, then the angle between the tail to tail vectors will be: a) 0 <0<900 c) 900 << 1800 b) = 900 d) Sign does not indicate angle range

(1) Which is the correct formula for finding the derivative of the product of two functions? O (f9)' = f' + g' O (f9)' = f'g' O (f9)' = fg' + gf' (2) Use the correct formula above to find the derivative of the function f(x) = x°e*.

Find f’ (x), i.e. the first derivative of all of the following 9 functions below: a) f (x) = x2 + 3x + 6   b) f (x) = (x + 4) (2x – 1)   c) f (x) = π3   d) f (x) = 5x   e) f (x) = 4x −3/7 + 8x-1/2 + 5   f) f (x) = 4x4 – x2 + 8x + π2   g) f (x) = (x - 4) (x – 1)   h) f (x) = 4x1/4 – x2 + 8x-1 + 92   i) f (x) = -8x1/4 – x-2 + 6x-1 + 42    NB: This questiuon consist of question A-I ,please to asnswer them seperately as shown below.

Find the derivative of f(x) = sin x²+ cos x if f'(2)

What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O f'(x) = 4x²(x³ + 2)³ O f'(x) = 12x(x³ + 2)³ O The function is non-differentiable

Find the derivative of the given function. () w(x) = sin a) w'(x) = -cos COS ( 1 ) Obl wd-es() 1 b) = w'(x)= O c) w'(x) O d) w'(x) = cos w'(x) = X COS(1) 1 === COS(= X.

What is the derivative of * f (x) = cosh(x) + sinh(x)?