1 If g(x) = [** sec(t³) dt, then g'(x) = x O-3x² sec(x³) – sec(x³) — sec(1) tan(1) + sec(x³) tan(x³) sec(x³) O sec(1) – sec(x³)

Q: if g'(x) = x(x-5)(x+1)4 , then g has a local maziumum at

A: Given that g'(x)=x(x-5)(x+1)4

Q: If ƒ(x) = sec² x and g(x)=x'e* determine the value of g"(1)"

A:

Q: f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = −1, g(1) = −2,…

A: Product rule:

Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

A:

Q: cos(x) Find g' (x) f(x) and let g (x) :

A:

Q: (8) Find the derivative of the functions (i)h(x) = sin 2.x cos 2x (ii) f (x) = cos (tan 4.x) 1 =-…

A: We need to differentiate the given function. We will use different method of differentiation . ( As…

Q: Let y = (x + sin(x))³. Find g(æ) and f(x) so that y = (f o g)(x), and compute the derivative using…

A:

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If F(x) is a differentiable function with derivative F'(x)= Enx"-1 and F(0)=0, then F n=2 x2-x O 1-x…

A: Introduction: For a differentiable function fx, if f'x is given, then integrating both sides, fx can…

Q: Let F(x) = sin(x) ex a) Find f'(x), F"(x), f (³) (x), F"" (x) b) Find f (2) (x), the 2n-th…

A: Here, we have to find the derivatives of f(x)=sin(x)exWe shall be using the product rule of…

Q: IF g(x) = sin(x), then g'(x) = cos (x) 9₁ (3) = IF F(X) = (sin x + 8 cos x, then F'(x) = 6 COS (X) -…

A: Since you have posted a question with multiple question, we will solve first two question for you…

Q: 2. Let f(x) = cos(x). We will take derivatives of this function over and over. (a) Evaluate the…

A: Using standard formula of derivatives.