Please solve this 13-30. Derivatives Evaluate the derivatives of the following functions.14.) f(x) = x cot¹ (x/3)(16.) g(z) = tan¹1¹ (1/2)(18) f(x) = sec Vx13. f(x) = tan¹ 10x(15) f(y) = tan¹ (2y²-4)(17. f(z) = cot¹ Vz(19.) f(x) = cos (1/x)(21.) f(u)=esc¹ (2u + 1)20 f(t) = (cost)²22 f(t) In (tan-¹ t)=6

Answered: Image /qna-images/answer/4ecc3c68-52dd-48aa-be41-e85bfd2c05e3.jpg

Answered: 13-30. Derivatives Evaluate the…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 20E

See similar textbooks

Similar questions

Find derivatives of the functions defined as follows. y=e-x2
Evaluate the derivatives of the given function for the given value of x. y= (x^2−3x+3) (5−5x−2x^2), x=4 y′(4)= _________. (Simplify your answer. Type an integer or a fraction.) someone earlier gave me an answer of 382 and that was incorrect
Find the derivatives of all orders of the functions y = (x - 1)(x + 2)(x + 3)
Directions: Find the derivatives of the following functions using the derivative rules.3. f(x) = (2x+5)^(-4)4. y = -9x^2+6x-1
1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…
Directions: Find the derivatives of the following functions using the derivative rules.1. y = (2x^3+3) (5x-3)2. h(x) = 7/x^4 3. f(x) = (2x+5)^(-4)4. y = -9x^2+6x-1
Can you compute derivatives of combinations of functions at a point, given graphical or numerical representations of these functions and their derivatives? (3.3) 27. Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown. (a) Find F'(7) (b) Find P'(2) (c) Find Q'(7) 2- y = F(x) = G(x)
Use the Quotient Rule to differentiate the function. cos(t) f(t) = Step 1 To use the quotient rule, write the given function as a quotient of two functions. g(t) h(t)' f(t) = where g(t) = = cos t and h(t) %3D Step 2 Obtain the derivative of g(t). g'(t) = -sin (t) - sin (t) Step 3 Obtain the derivative of h(t). h'(t)
What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the given value of x. y= (5x^2-x+5)(3-3x-x^2), x=-4
QI// Find the first derivative for the following functions: (x +1)(x +2) (x - 1)(x- 2) 3) y (2 - x2)? tan? (x 2 +1) 1) y 2) y 2e* 3x 4) y = csc(x y') !!
Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. Function Point (₁1) 6 y' = y = 4 + csc(x) 8 - csc(x)
8. Analyze and sketch a graph of the function f(x) = 2-4). x2-1. (8 %3D 12x %3D The first derivative of the function is f'(x) (x2-1)2 -12(3x2+1) (x2-1)3 The second derivative of the function is f"(x): Domain: x-intercept(s): y-intercept: Vertical asymptote(s): Horizontal asymptote: Symmetry: Critical number(s): Point(s) of inflection: Interval/Point f(x) f'(x) f"(x) Characteristic of Graph

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

SEE MORE TEXTBOOKS

13-30. Derivatives Evaluate the derivatives of the following functions. 13. f(x) = tan¹ 10x (14.) f(x) = x cot¹ (x/3) (16.) g(z)= tan¹ (1/2) (15. f(y) = tan¹ (2y²-4)