Find dy/dx. 1. y 4x7

Q: dx 5x. J 75V9x² – 1

A:

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: dy 2. 7x 2y =

A:

Q: dx 6. 4+ 5сosx

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Q: 3x+x - cx=

A: We have to find definite integral.

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

A:

Q: dx Vx + 1

A:

Q: dy y secx + ytanx dx %3D

A: Given differential equation is : dydx=ysecx+ytanx

Q: -dx x +1 2 5.

A:

Q: dx Ve ve

A: Integration

Q: 2. ff. x²y dy dx

A: Given

Q: 3. Evaluate ry? dz dr dy.

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Q: dy + 5y=0 %3D

A: Given differential equation is dydx+5y=0.

Q: dy 6. + 2xy? = 0 dx %3D

A: Topic = Differential equation As per guidelines  , At a time only one question can be answered out…

Q: Find d2y/dx2. y=5x3/3   -2x

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: