Let F(t)= (cost)i + (sin)j. (a) Show that + F = 0 (b) Show that there is no value of t on the range 0

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

A:

Q: Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y=…

A:

Q: (b) A poll commissioned by a politician estimates thatt days after he makes a statement denegrating…

A: Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

A:

Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

A: Given that f(x, y, z) =x3 +5x2 y z +3xz+3 The directional derivative is a concept from multivariable…

Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

A:

Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: 10. Let F(x, y) = 1 + v4 – y². (a) Evaluate F(3, 1). (b) Find and sketch the domain of F. (c) Find…

A:

Q: Identify the plot below that represents a function f(x) that satisfies the following conditions:…

A:

Q: Let f be a function that is defined and differentiable on all of R. Here is some information about /…

A:

Q: Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) =…

A:

Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values…

A: According to bartelby's guidelines we can only answer three subparts of a question.Please post the…

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

A:

Q: Find the antiderivative F of f that satisfies the given condition F(1) = 2 and specify the domain of…

A:

Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

A:

Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x,y) =…

A:

Q: 7. Determine where the function is continuous. (a) f(x) = 1+x (b) g(x) = sinx+x² + x + 1. x² (c)…

A: This is a problem related to continuity of thr function. Please follow the procedure given below.

Q: Show that f(x)= |x| is not differentiable at x = 0.

A: