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What is the antiderivative of 4 divided by x and why?
∫ 4/x dx= 4 ∫ 1/x dx= 4ln(x) + CThis is true for three reasons:the derivative of the term ln(x) is equal to 1/x4 is a constant factor of the term, and can be moved out of the integralC is an unknown constant, because we're looking at an indefinite integralYou can confirm this by taking the derivative of 4ln(x), which gives you 4/x, the original term.
What is the answer of the questions Differentiate X Squared and How?
Differentiating x^2 can be accomplished by using the Power Rule. This provides that d/dx (x^2)=2x
How do you differentiate sin sin x?
To differentiate y=sin(sin(x)) you need to use the chain rule. A common way to remember the chain rule is "derivative of the outside, keep the inside, derivative of the inside". First, you take the derivative of the outside. The derivative of sin is cos. Then, you keep the inside, so you keep sin(x). Then, you multiple by the derivative of the inside. Again, the derivative of sinx is cosx. In the end, you get y'=cos(sin(x))cos(x))
Is term also means expression in algebra?
Generally expression is a collection of terms . In some cases , even a term may be considered as a expression .. e.g) "x+0" is a exp , "x" is term .. but we know both are equal.
What is an example of an exponential equation whose only solution is 4?
2^x = 16In general, "exponential" implies that the variable part is in the exponent. Write any equation with a power of 4, do the calculation, then replace "4" with "x".
