x2-8x+15 ; x 3 a) If f(x)= 2x-6 is continuous at x=3, then find the 2-5 ;x=3 value(s) of k. sinx b) Find the equation of the tangent line to the graph of the function y= at the point (T, 0) Vx-2 c) Evaluate lim x+4 3x2-48

Q: a(1+x²) Find the derivative 1-x

A:

Q: Cos Q1:solve lim オ→+0 π

A: Step:1     Solve:limx→∞  cosπxπx

Q: Q4: a) Use the four steps rule, for find the derivative of function: 1 f (x) = x + 5 b) Find : lim…

A: Solution:

Q: Q2// A – If y = tan-1(-1), find the value of y without use Calculator. B- Find the Domain, Range and…

A: To find Value of y if y=tan-11And  to graph y=2cos(x-π3)

Q: Find the points on the graph where the tangent line to the curve (x2 + y²)² = 10 (x² – y²) + 8 is…

A: The given curve is, x2+y22=10x2-y2+8 The graph of this curve is as follows,

Q: c) Determine the second derivative. f(x)=x²5x² + 3x + 2 d) Determine points of inflection, and…

A:

Q: Consider the graph of the function f (x)=x²-x - 30. (a) Find the equation of the secant line joining…

A:

Q: Sketch a function where ?′(?) > 0  and ?′′(?) > 0 always and passes through the point (0,1).

A:

Q: What is the derivative of cot³( 4x³ – 2x)? A (– 36x²+6)cot2(4x³– 2x) csc²(4x³– 2x) 36x?cot (4x³ –…

A: Given : Function cot34x3 - 2x   To find : Derivative of given function?

Q: A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an…

A: The main objective is to find the axis of symmetry of f(x) and maximum height ball reaches.

Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is:

Q: Consider the function 2x + 1 g(x) = x +1 a) Evaluate the derivative of the function. b) Sketch the…

A: