Question

Example: Differentiate 10x2 with respect to x. Solutio?​

Answer 1

Answer:

Differentiate 10x2 with respect to x.

Solution:

y = 10x2

y’ = d(10x2)/dx

y’ = 2.10.x = 20x

Therefore, d(10x2)/dx = 20 x

Answer 2

Answer:

Differentiation of 10x² w.r.t x is 20x.

Step-by-step explanation:

Differentiation:

• A function's derivative with respect to an independent variable can be referred to as differentiation in mathematics.
• The function per unit change in the independent variable can be calculated using differentiation in calculus.
• Let y = f(x) be the function of x, then the rate of change of 'y' per unit change w.r.t 'x' is given by y' = f'(x) = dy/dx

Differentiation in Real-World Applications:

• Differentiation allows us to calculate the rate at which one quantity changes in relation to another.

Here are a few instances:

• Acceleration is the rate at which a velocity with regard to time changes.
• The derivative function is used to determine the curve's peak and trough, as well as its turning point, in a graph.
• Identifying a curve's tangent and normal.

Given expression is 10x².

      Let f(x) = 10x²

  differentiate f(x) w.r.t x

       d/dx[f(x)] = d/dx[10x²]

                      = 10(2x)

                      = 20x

      Hence, differentiation of 10x² w.r.t x is 20x.

Know more about Differentiation:

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Know more about Partial differentiation:

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