Differentiate sin y = a'

Q: Differentiate (a) y − sin(x2) and (b) y − sin2x.

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Q: dx sin*x

A: We have to integrate.

Q: Differentiate y = sin (x 2)

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Q: Differentiate y=(1-cosx)/sinx

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Q: Differentiate  Sin(msin-1 x)

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Q: Differentiate sin x +1

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Q: sin Vr dx

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Q: x3=sin2 y differentiate?

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Q: y = tan* (sin æ)

A: Herewe have to do derivative of the given function.

Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of          is calculated as shown below

Q: Differentiate  y=sin(ln(5x2-2x))

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Q: Transforming dx using miscellaneous substitution will yield to secx + 1

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Q: Differentiate with respect to the independent variable: y=tan[ln(3x2+5)]

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Q: Differentiate the function y=sin^2 x

A: Given: y=sin2(x)

Q: integrate sin(x)

A:

Q: Compute the derivative. R(y) = (3 cosy - 4) / sin y

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: Differentiate with respect to the independent variable: f(x)= sin(9 ln(x) )

A:

Q: Differentiate the function y=ex(sinx−cosx).

A: y=exsinx-excosx.

Q: Find the derivative. y = sinh-1(tan(x)) y'(x) =

A:

Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: b) Differentiate (Cosx)Stnx with respect to (Tanx)Secx

A: We have to differentiate cos xsin x with respect to tan xsec x

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: Differentiate y = sin (x-y)

A:

Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: Differentiate the function: y = In[tan(ln x)]

A:

Q: Determine (tanx sec' x dx

A: We will evaluate the integral.     We know  sec2x - tan2 x = 1            implie, sec2x = 1+ tan2 x

Q: Differentiate Sin(x2 +1)

A: Differentiate   Sin(x^2 +1)

Q: Integrate x sin(x)dx

A: We need to evaluate the following integral I = ∫x sinx2dx…

Q: (ups" = (In tanx) (x*) ( Sinx) (Ny)" sec"('s %3D 2. %3D

A: Here we apply logarithmic differentiation for both Questions

Q: Integrate cot(x) In(sin(x))dr.

A: The answer is found in step-2

Q: sin-(x²)

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Q: Differentiate  (sin 2t)/t.

A: ft=sin2tt

Q: Evaluate Sx In(sinx)dx

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Q: Differentiate sin y = a

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Q: tanx * In(secx) dx

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Q: (StI At ds

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Q: y = sin 2rx

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Q: Find y' of sin(x+y)=x+y

A: Given,              sin(x+y)=x+y

Q: Differentiate y = sin(e"). y =

A:

Q: differentiate the function: y= ln(x^9 sin^2(x)) y'(x)=

A: Given function as

Q: sin Vr dx =?

A:

Q: | arctan x dx=?

A: We evaluate given integral

Q: cos(2x) dx sinx+cosx dx Vex

A: Find your answer below

Q: Integrate: sec x tan x dx

A:

Q: Differentiate.   y =  Sin -1(ex)

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Q: Differentiate y= x2  sinx

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Q: fcox In(sinx) dx= fu du cotx In(sinx) dx = u du

A: In this question we substitute  u=lnsinx .

Q: Differentiate the function. y= (Sin x)In x

A: Given function - y = sinxlnx                   .............(1)Taking logarithm ln on both sides -…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.