Question

how to solve derivatives ​

Answer 1

HEY MATE!

HERE IS YOUR ANSWER:

First write all the information you know about that topic. Write a formula related to that and try to solve it further.

Answer 2

I will use will use D( ) to denote the derivative of ( ).

Power Rule

You can apply this rule to polynomials as well. Remember: D(f+g) = D(f) + D(g) and D(f-g) = D(f) - D(g)

Product Rule

The product rule is D(fg) = fD(g) + gD(f).

Quotient Rule

The quotient rule is D(f/g) = [gD(f) - fD(g)]/ g^2.

D(sin(4x)) = cos(4x)(4) = 4cos(4x)

Trig Functions

D(sinx) = cosx

D(cosx) = -sinx

D(tanx) = (secx)^2

D(cscx) = -cscxcotx

D(secx) = secxtanx

D(cotx) = -(cscx)^2

Msc.

D(e^x) = e^x

D(lnx) = 1/x

D(constant) = 0

D(x) = 1

Explanation:

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