5) Find the derivative of h(0) = tan 50. d 6) Find dy (cot y).

Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: 6. Use implicit differentiation to find the following derivatives for the equation tan y = 4 +x?y +…

A: see below the calculation and answer

Q: 1 FIND THE DERIVATIVE OF EACH FUNCT'ON. 1.) y= sin () a.) y= Tan( 3x) 3.) y= Cos( 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 9 tan t Find the derivative of the function y = 2 + 2 sect dy dt

A: Explanation and solutions is given below....

Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: 4 1日4)+e dy=

A:

Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

A:

Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

A:

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

A:

Q: In the given problem, we implicitly differentiate by taking the derivative with respect to x of both…

A: Given  ddx(y)=ddx(5cos(x+y))

Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: compute the derivative

A:

Q: Y= lo5

A: FIrst convert base e then differentiate

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: 5. As a particle moves through the first quadrant, its a and y coordinates are functions of time t,…

A: Given tan(theta)=y/x

Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

A:

Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: Y=67€ tanhlt

A: To differentiate the expression, y=6t tanht use the product rule, ddxf(x)g(x)=f'(x)g(x)+f(x)g'(x).…

Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

A:

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

A:

Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

A:

Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: Find the derivatives of the functions

A:

Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

A:

Q: Can you help me step by step with this problem?

A: Given,

Q: e Part I of the Fundamental Theorem of Calculus to find the derivative of the function y = cos…

A: To find the derivative of the function using the fundamental theorem of the calculus,…

Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

A:

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

A:

Q: 9. What is the derivative of cos(at5 + b) with respect to t?

A:

Q: A-The derivative is y = In sin 0 cos 0 1+2 ln 0

A:

Q: Find the requested higher-order derivative for the given function. d?y of y = 3 sin(x) + x² cos(x)…

A: Using Derivatives.

Q: (a) Find the derivative of cos(1+x²).

A:

Q: Find the indicated derivative: d/dt [ e^t   ]

A:

Q: Find the derivative of y with respect to s. (56° +3) У3 sec

A:

Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

A:

Q: cos(xy) + secy = 5

A: Given: cosxy+secy=5 We know that  ddxcosx=-sinx…

Q: Sin (7€) + Cos (SE) 5지

A:

Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: 11. In y = e" sin x

A:

Q: 10. Let y = In(x' + sin 3x). Find dy/dx.

A:

Q: 16. S(3 sin 0 + 5 cos 0)d0

A: A detailed solution is given below     ( As per our guidelines, i have to answer only 1st question…

Q: 11) Let r = sin 0. dy (a) Find the derivative dr (b) Use part (a) to find all distinct (r, 0) points…

A:

Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

A: We can find the derivative on the given function by using the chain  rule of differentiation.

Q: Find the derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)

Q: The derivative of : y =0(sin (In (0))) + cos(Im (0)) is:

A:

Q: Find the differential of the function   y = θ3 sin(6θ)

A: Solution :-

Q: QS:-Find the first order derivative of each of the following functions: a) y = etan"x + In (sin-x)…

A: